Question

The radius of a circle is 9 cm. Find the length of an Arc of the circle which cuts off a chord of length equal to the length of the radius

Answer 1

Answer:

The answer is 9.42 cm.

Explanation:

It is an equilateral triangle because of all the side of the triangle are equal i.e 9cm each side. Hence all the angles of the triangle will be 60° degree of each side.

Now find the length of the arc:

The length of the arc =  θ/360 x circumference of the circle

                                =   θ/360 x 2πr               ( Since C = 2πr )        

                                =    60 /360 x 2 x 3.14 x 9

                                =    0.1666  x 56.52

                                =      9.42 cm

Answer 2

Answer:

3π

Explanation:

Given,

OA=9cm ,

CB=9cm,

So, OB=OC.

Measure of angle OCB=60degree

So, length of arc =theta/360x2πr

= 60/360x2π9

= 3π