What is the arc length when θ = 3 pi over 5 and the radius is 7 cm?

Solution:

It is given that,

θ = 3 pi over 5 and the radius is 7 cm.

We know that,

Arc length of a circle = radius × angle subtended by the arc at center.

Here, r = 7 cm.

θ = 3π/5

Substituting the values in the formula we get,

Arc length, l = r×θ

= 7 × (3π/5)

= 21π/5

Therefore, the arc length when θ = 3 pi over 5 and the radius is 7 cm is 21π/5.

What is the arc length when θ = 3 pi over 5 and the radius is 7 cm?

Summary:

The arc length when θ = 3 pi over 5 and the radius is 7 cm is 21π/5.