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Syllabus

In fig Op is equal to diameter of the circle. Prove that abp is a equilateral triangle..

sry abt the figure but i dnt know how to upload the figure

But its a circle with two tangents AP and BP... and joining OP, OA and OB ( o is the centre of the circle... )

The radius of a circle is 5 cm. A chord of length square root 50 cm is drawn in the circle. Find the area of the major segment.

Answer given in the book is 71.375 square cm

Whereas my calculation gives 71.428 sq cm

Kindly, check it?

The radius of a circle is 5 cm. A chord of length square root 50 cm is drawn in the circle. Find the area of the major segment.

Answer given in the book is 71.375 square cm

Whereas my calculation gives 71.428 sq cm

Kindly, check it?

OPQR is a rhombus, three of whose vertices lie on a circle with centre O. If the area of the rhombus is 32 (under-root)3 cm

^{2}, find the radius of the circle.The diagram shows a right angled triangle and a semi circle. PQ is the diameter of the semicircle. The perimeter of the whole diagam is... (a) 30 + 5pi (b)18 +6pi (c) 18 + 10pi

The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is traveling at a speed of 66 km per hour?

please write in a simple method?

PQRS is a diameter of a circle of radius 6cm. The lengths PQ, QR and RS are equal. Semi circles are drawn on PQ and QS as diameters. Find the perimeter and area of the region so obtained.

The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.

ABC is a right angled triangle, angle B=90* ,AB=28cm and BC=21cm. With AC as diameter a semicircle is drawn and with BC as radius a quarter cicle is drawn. Find the area of the shaded region

The question for the answer is: In a circular table of radius 32 cm, a design is formed leaving an equilateral triangle ABC in the middle as shown in the given figure. Find the area of the design(shaded region)

Two circular flower beds have been shown on two sides of a square lawn ABCD of side 56 cm. If the centre of each circular flower bed is the point of intersection O of the diagonals of of the square lawn, find the sum of the areas of the lawn and flower beds.

In the given figure, a square OABC is inscribed in a quadrant OPBQ. If OA = 20 cm, find the area of the shaded region. [Use π = 3.14]

the diameter of 2 circles are in the ratio of 5 :12 and the sum of their areas is equal to the area of a circle of radius 13 cm . find the diameters of the given circles .

the long and short hands of a clock are 6cm and 4cm respectively.Find the sum of distances travelled by their tips in a day

options:-

(a) 54 cm

(b) 76 cm

(c) 86 cm

(d) 66 cm.

Three circles of radius 2 cm touch one another externally. These circles are circumscribed by a circle of radius x. Find the value of x and the area of shaded region

a motor cycle has diameter 91cm there are 22 spokes in the wheel find the length of the arc between the 2 adjoining spokes

ABCD is a trapezium with AB parallel to CD. AB=18cm, DC=32cm and distance between AB and DC=14cm. If arcs of equal radii 7cm with centres A,B,C and D have been drawn, then find the remaining area i.e. area exuding the circular region

is 25π cm

,then AB is equal to

(a) 5 cm (b) 8 cm (c) 10 cm (d) 25 cm

AB=36 cm and M is the mid-point of AB. Semicircles are drawn on AB,AM and Mb as diametrs.A circle with centre C touches all the three circles. Find the area of the shaded region.

An elastic belt is placed round the rim of a pulley of radius 5 cm. One point on the belt is pulled directly away from the centre O of the pulley until it is at P, 10 cm from O.find the length of the belt that is in contact with the rim of the pulley.

In the given figure, ABC is a quadrant of a circle of radius 14 cm and a semicircle is drawn with BC as diameter. Find the area of the shaded region.

A chord 10cm long is drawn in a circle whose radius is 5 root2 cm find the area of both segments.?

two circles touch internally, the sum of their areas is 116 pie sq cm and distances between their centres is 6cm. find the radii of the circles.

plzzzzz ans!!!! its urgent!!!

Relation between the area of sector and the length of an arc:Look at the following figure.Here, O is the centre of the circle of radius

rand APB is an arc of lengthl.Clearly, measure of arc APB = Central angle =

θLet the area of sector OAPB be A.

Now, we have

From length of arc and area of corresponding sector, we can also conclude that.

here i understood the first part very clearly i.e. till area of setor=radius/2*length of arc

but i am not able to understand the second relation.

pls help me in understanding it.

The boundary of the shaded region in the figure given consists of four semi-circular arcs, the smallest two being equal. If the diameter of the larger is 14 cm and of the smallest is 3·5 cm, calculate the length of the boundary and the area of the shaded region. (Take = 22/7).

A solid cuboidal slab of iron of dimensions 66cm * 20cm * 27cm is used to cast an iron pipe. If the outer diameter of the pipe is 10cm and thickness is 1cm, then calculate the length of the pipe.

1] the perimeter of a quadrant of a circle of radius ' r ' is ___________.

2] Area of a quadrant of circle whose circomference is 22cm is ____________.

in the fig O is the centre of circle with AC =24cm and AB=7 cm. and angle BOD =90. find the area of the shaded region..

NOT ABLE TO UPLOAD THE DIAGRAM....

its like a circle a diamete.two semicircles are thus formed.

one upper side of the diameter a triangleABC is formed with BC as its base n BC is the diameter...the on the lower side of the diameter the portion i.e the semicircle is biscetedby OD the radius...

IN the triangle AB is the smallest side AB the longest n AC the shortest...

pls make it as soon as possible tommorow is my maths exam...pls

In a circular table cover of radius 32 cm, a design is formed leaving an equilateral triangle ABC in the middle as shown in the given figure. Find the area of the design (Shaded region).

A chord of a circle of radius 12 cm subtends an angle of 120° at the centre. Find the area of the corresponding segment of the circle. please explain me in easy way?

Two spherical balls lie on the ground touching ,if one ball has a radius of 8 units and the point of contact is 10 units above the ground what is the radius of the other ball?

In figure, ABC is a right angled triangle, right angled at A. Semicircles are drawn on AB, AC and BC as diameters. Find the area of the shaded region.

Please see the figure:http://puu.sh/2e9qw

Three circles each of radius 7cm arc drawn in such way that each of them touches the other two. Find the enclosed between the circles .

plz answer fast .. tomorrow is my exam .....plzzz

a wooden article was made by scooping out a hemisphere from each end of a solid cylinder.I the height of the cylinder is 10cm and it's base radius is 3.5cm. find it total s.a.

^{2}in area. AE = 4 m O is the mid point of AB. If a semicircular EFG with O as centre is cut off accommodate a circular pillar. Find the area of the carpet required to cover the remaining area.Find the area of the shaded region in the given figure, where a circular arc of radius 6 cm has been drawn with vertex O of an equilateral triangle OAB of side 12 cm as centre.

M

pls explain me

If a, b and c are the sides of a right angle triangle where C is the hypotenuse. Prove that radius, r of the circle touches the sides of the triangle given by

r=a+b-c2The area of a circle inscribed in an equilateral triangle is 154 cm2. Find the perimeter of the triangle.

The inner circumference of the circular track is 440 m and the track is 14 m wide.Calculate the cost of levelling the track at the rate of 25 paise per sq. m.Also, find the cost of fencing the outer circle at the of Rs. 5 per m.[Use pi = 22/7]

In an equilateral triangle of side 24cm , a circle is inscribed touching its sides . Find the area of the remaining portion of the triangle .

circle of radius 2cm is inscribed in an equilateral triangle find the area of the triangla

Fig shows a sector of a circle, centre O containing an angle θ.

Find the perimeter and area of the shaded region.

find i) perimeter = r (tan θ + sec θ + πθ/180 – 1)

ii)Area = r2/2(tan θ – πθ /180)

i need fully solved ..........hurry please....

Three cows are tethered with 10 m long rope at the three corners of a triangular field having sides 42 m, 20 m and 34 m. Find the area of the plot which can be grazed by the cows, also, find the area of the remaining field ungrazed.

an archery target has 3 regions formed by three concentric circles. if the diameters of the concentric circles are in the ratio 1:2:3, then find the ratio of the areas of the regions???guys plz help me....

need this answer before 10:30 am today...

Find the area of a quadrant of a circle whose circumference is 22cm.

The circumference of a circle exceeds its diameter by 16.8 cm. Find the circumfrence of the circle.

the circumradius of right triangle is 10cm and one of the two perpendicular sides is 12cm,find the sum of the squares of its diaagonals

all the vertices of a rhombus lie on a circle. find the area of the rhombus if the area of the circle is 1256cm

^{2}a bicycle wheel makes 5000 revolutions in moving 11km find diameter of the wheel

1. To give suggestive demonstration of formula that the area of the circle is half the product of its circumfrence and radius

a)by coiling method

b)by paper cutting and pasting.

2.to verify that the sum of first n odd natural number is n

^{2 }by an activity method.3.To verify that the sum of area of three sectors of same radii 'r' formed at the vertices (as centre) of any triangle r

^{2}/2using paper cutting and pasting.4.

a)to compare the curves surface area of two right circular cylinder which are formed rectangular sheet of paper having same dimension.

b)to compare total surface area of two right circular cylinder s which are formed from rectangular sheet of paper having same dimension.

5.to compare the volume of two right circular cylinder which are formed rectangular sheet of paper having same dimension.

6.to illustrate the medians of a triangle concur at a point called thecentroid,which always lies inside the circle using paper folding mehod.

plz send SOLUTION FAST AS MUCH POSSIBLE ON

siddhantbhopal@gmail.com

Q=AB is the diameter of a circle,center O .C is a point on the circumference such that /-COB=a.The area of minor segment cut off by AC is equal to twice the area of the sector BOC. Prove thatsin a/2 cos a/2 =pie(1/2- a/120)THE PERIMETER OF A SECTOR OF A CIRCLE WITH CENTRAL ANGLE 90* IS 25CM FIND THE AREA OF THE MINOR SEGMENT OF THE CIRCLE.With vertices A,B and C of a triangle ABC as centres, arcs are drawn with 5cm each. With sides AB=14cm, BC=48cm and CA =50cm, find Area of whole triangle minus the sum of the three sectors

a triangle ABC is drawn to circumscribe a circle of radius 3 cm, such that the segments BD and DC into BC is divided by the point of contact D are the lenghs 6 cm and 8 cm resp. Find the side AB if the area of triangle = 63 sq.cms

ABCD is a trapezium AB ||DC and angle BCD =60 degree.if befc is sector with center C and ab=bc=7cm and de=4 cm ,then find the area of the shaded region?

Two Concentric Circles of radii A and B ( A>B) are given. the Chord AB of larger circle touches the smaller circle at C. The length of AB is

1. the shape of the top of a table in a restaurant is that of a sector of a circle with centre O an dang;e bod=90. if bo=od=60cm, find the area of the table and the perimeter of the table top.

2. triangle ABC is right angled at A. semicircles are drawn on AB, AC and BC as diameters. find the area of the shaded region .

3.OPQR is a rhombus , three of whose vertices lie on a circle with centre O. if the area of the rhombus is 32root3 cm sq. , find the radius of the circle.

4.O is the centre of the biggre circle an dAC is the diameter. another circle with AB as diameter is drawn. if AC=54cm and BC=10cm, find the area of the shaded region.

12. In the following figure, all the vertically opposite angles formed, are right angles. The Perimeter of the coplanar figure is _______________

^{2}^{2}(A) 25 cm (B) 26 cm

(C) 40 cm (D) 34 cm

ABCP is a quadrant of a circle of radius 14 cm With AC as a diameter, a semicircle is drawn. Find the area of the shaded region. (Take Pi=22/7)

The figure consists of a rt. angled triangle ABC, with AC as the hypotenuse. A semicircle APC is drawn with AC as the diameter. Over this, another the arc of the quadrant extends. The shaded region is between the arc of the semicircle and the arc of the quadrant.

The area of a circle inscribed in an equilateral triangle is 154cm². Find the perimeter of the triangle.

rnplease write the steps

what is the formula of area of minor segment and major segment?

Two concentric circles are of radii 7 cm and 'r' cm respectively, where r >7 .A chord of the larger circle, of length 48 cm, touches the smaller circle. Find the value of 'r' ?

The area of an equilateral triangle ABC is 17320.5 cm

^{2}. With each vertex of the triangle as centre, a circle is drawn with radius equal to half the length of the side of the triangle (See the given figure). Find the area of shaded region. [Use π = 3.14 and]plz answer this question....and plz tell me step by step......can anyone...help me..

an equilateral triangle abc of side 6 cm has been inscribed in a circle . find the area of the shaded region . thai is the remaining part of the circle

in a circle with centre o.the area of sector oAPB is 5/18 of the area find the area of x

the vertices of a triangle are (0,0) , (3,0) , and (0,4) . its orthocentre is at

^{2}In RD Sharma Chapter 15 : Areas related to circles: Revision exercise Question 32, how is the radius of the circle with centre C ,1/6th of AB ..???

A solid spherical ball of the metal is divided into two hemispheres & joined as shown in figure. The solid is placed in the cylindrical tub full of water in such a way that the whole solid is submerged in water. The radius & height of cylindrical tub are 4 cm & 11 cm respectively & the radius of spherical ball is 3 cm. Find the volume of water left in the cylindrical tub.

in a figure,a circle is inscribed in a square of side 4cm and another ciccle is circumscribing the square.Proove that the area of the circumscribed ciccle is two times the area of the inscribed circle.

please i want the answer too fast!its an emergency.

3 circles each of radius 3.5 cm are drawn in such a way that each of them touches the other two . find the area enclosed between these three cicles (shaded region )use pie=22/7?

A wall hanging is in the shape of a circle. It has a triangle in it with each of its vertex touching the circle, as shown in the figure. Also, the length of each of its sides is equal. The diameter of the wall hanging is 21 inches. In the shaded portion, glossy paper is to be pasted and the cost of glossy paper is Rs 25 per square inches.

and

What is the total cost of pasting the glossy paper?