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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... )

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.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?

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?

Show that the area of the circumference of any square is twice the area of its incircle.

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.

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.

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

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?

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

is 25π cm

,then AB is equal to

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

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.

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

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

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

Given: ABCD is a square

Find : Area of the shaded region

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.

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

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.

ABC is a acute angled triangle if B=45 deg then (1+ cotA)^5 (1+ cotC)^5 equals

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.

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!!!

The area of a circle is 220cm

^{2 . }Find the area of square inscribed in 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 calf is tied with a rope of length 6m at the corner of a square grassy lawn of side 20m.If the length of the rope is increased by 5.5m.find the increase in area of the grassy lawn in which the calf can graze?

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 ____________.

a bicycle wheel makes 500 revolutions in moving 11 km. find the diameter of the wheel.

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?

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

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.

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)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.

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.

M

pls explain me

Area of a sector of a circle of radius 14cm is 154 cm^{2}. Find the length of the corresponding arc of the sectorThe 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 .

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....

Area of yellow region

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.

In what ratio does the point P (2, -5/6) divide the line segment joining the points A (-3,5) and B(3,-2)

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

there are 4 semi circles.BC is the diameter of the larger semi circle which is of length 84 cm . centres of the 3 equal semi circles lie on BC. ABC is an isosceles triangle with AB=AC BO=OC .(take pie as 22/7)

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) 4 p cm b) 6 p cm c) 7 p cm d) 8 p cm

a bicycle wheel makes 5000 revolutions in moving 11km find diameter of the wheel

The cost of planting grass in a circular park at the rate of Rs 4.90/m

^{2 }is Rs 24, 640. A path of uniform width runs around the park. The cost of gravelling the path at the rate of rs 3.50/m^{2}is Rs 3696. Find the cost of fencing the path on both sides at the rate of Rs 2.10/mWith 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

The sum of the radii of two circles is 7 cm, and the difference of their circumferences is 8 cm. Find the circumferences of the circle.

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?

Im not able to understand the 2nd example.. Can anyone explain?

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

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-c2If the circumference of a circle of radius 'r' and the perimeter of a square of side 'a' are equal , then the ratio of area of the circle to that of the square is :

(A) 4:pie

(B) pie:4

(C) pie

^{2}:16(D) pie

^{2}:4In figure, OPQR is a rhombus whose three vertices P, Q, R lie on the circle of radius 8cm. Find the area of the rhombus.

how to find the angle theta in area of sector when it is not given.

for example in exercise 12.2, question 11.

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

Three circles each of radius root 3cm ,are drawn touching each other externally. Another circle is drawn enclosing and touching all three. What is the area of the big circle ?

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..

the length of the minute hand of a clock is 5 cm . find the area wept by mintue hand during the time period 6 :05 am and 6:40 am ?

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

the perimeter of a sector of acircle of radius 4.2cm is 12.8cm, find the area of the sector.

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

If the radius of a circle is diminished by 10%,then area of the circle will be diminished by:

A)10% B)19%C)20%D)36%

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 ..???

In making 1000 revolutions, a wheel covers 88 km. The diameter of the wheel is

the circumference of a circle exceeds its diameter by 16.8.finf the circumference of the circle.

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?

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