Question

The radius of a circle is 9 cm. Find the
length of an arc of this circle which
cuts off a chord of length, equal to
length of radius.
​

Answer 1

Step-by-step 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

OR

Given,

OA=9cm ,

CB=9cm,

So, OB=OC.

Measure of angle OCB=60degree

So, length of arc =theta/360x2πr

= 60/360x2π9

= 3π

4.2

Answer 2

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