Question

A circle has a radius of 9 inches and the central angle that measures 160 degrees. Find the length of the arc defined by this central angle

Answer 1

25.1( to 3 sf)

Explanation:

first off you turn the angle into radians:

160/180 × pie = 2.792526803

then use the formulae you use to find radians give then lenth of arc and radius

radians = length of arc / radius

2.79... = x/ 9

Then solve for x

2.79...×9= 25.13274123