The radius of a circle is 13 feet. What is the length of an arc that subtends an angle of
radians?
13 ft
Give the exact answer in simplest form.
feet

The length of the arc is 221π/18 ft or 38.55 ft

Step-by-step explanation:

Given

Subtended angle, θ = 17π/18

Radius, r = 13 ft

Required

Length of the arc.

When an angle is given in radians, the length of the arc is calculated using the formula below

Length = rθ

By substituting

Length = 13 * 17π/18

Length = 221π/18

The answer can be left in this form.

But for simplification purpose, I'll solve further.

Taking π as 3.14

Length = 221 * 3.14/18

Length = 693.94/18

Length = 38.552222

Length = 38.55 ft (Approximated).

Hence, the length of the arc is 221π/18 ft or 38.55 ft