Question

A circle has a radius of 5 and the arc measure is 60. what is the Arc lenght

Answer 1

5.23 units

Explanation:

Let the length of arc be l

`central \: \angle \: ( \theta) = 60 \degree \\ radius \: (r) = 5 \: units \\ \\ \because \: l = ( \theta)/(360 \degree) * 2\pi \: r \\ \\ \therefore \: l = (60 \degree)/(360 \degree) * 2 * 3.14 * 5 \\ \\ \therefore \: l = (1 )/(6) * 31.4 \\ \\ \therefore \: l = 5.23 \: units`