Question

In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians.

What is the length of the arc?

Answer 1

length of the arc = 6.28 ft

Explanation:

`r = 3 \: ft \\ central \: angle \: ( \theta) = (2\pi^(c) )/(3) = 120 \degree \\ \\ l = ( \theta)/(360 \degree) * 2\pi \: r \\ \\ l = ( 120 \degree)/(360 \degree) * 2 * 3.14 * 3\\ \\l = ( 1)/(3) * 6.28 * 3\\ \\ l = 6.28 \: ft \\`