In a circle of diameter 60 cm the length of a chord is 30 cm Find the length of - Maths - Trigonometric Functions

Question

In a circle of diameter 60 cm the length of a chord is 30 cm
Find the length of the minor and the major arcs of the chord {
hint: Triangle OAB being equilateral theta=60 degrees=pie/3 rad
Now minor arc AB=r theta
Also major arc = 2 pie r - minor arc}

Vipin Verma · Accepted Answer

Radius of the circle is 30cm
And length of the chord is 30cm

Hence angle BOA = 60

So minor arc length is given by θ =lr 
Here l is the arc length and r is radius
So r = 30 and θ =π3
So l = 30pi/3 = 10pi
And major arc has angle as 5pi/3
So major arc length = 50pi

In a circle of diameter 60 cm the length of a chord is 30 cm. Find the length of the minor and the major arcs of the chord. { hint: Triangle OAB being equilateral theta=60 degrees=pie/3 rad Now minor arc AB=r theta Also major arc = 2 pie r - minor arc}

In a circle of diameter 60 cm the length of a chord is 30 cm. Find the length of the minor and the major arcs of the chord. { hint: Triangle OAB being equilateral theta=60 degrees=pie/3 rad

Now minor arc AB=r theta

Also major arc = 2 pie r - minor arc}