Question

The radius of a circle is 7cm.The angle subtended by an arc of the circle at centre is 45degrees.Find the arc of sector.​

Answer 1

Use the formula, s = r×θ; where, s is the length of an arc of a circle having radius r & θ(in radian) is the angle subtended by the arc of lengh s at the center of the circle. Units of s & r are same.

Here, r = 7cm & θ = π/3 (given). [as, 60° = (60×π/180) rad = π/3 rad.]

We have to find the value of s.

So, from the above formula, we have,

s = (7×π/3) cm

= 7π/3 cm. (Ans)

Hope, it'll help..!!