Given a radius of 9 inches, estimate the length of arc s to the nearest hundredth.

Question

asked Aug 7, 2020 234k views

2 Answers

Obermillerk · Answer 1 · 2020-08-12T20:41:33+0000

The question is incomplete, here is the complete question:

Given a radius of 9 inches intercepted by the central angle 60°. Estimate the length of arc 'S' to the nearest hundredth.

Answer: The arc length of the circle is 9.42 inches

Explanation:

To calculate the length of the arc, we use the formula:

$S=2\pi r((\theta)/(360))$

where,

S = arc length = ?

r = radius of the circle = 9 inches

$\theta$ = central angle = 60°

Putting values in above equation, we get:

$S=2* 3.14* 9* ((60)/(360))\\\\S=9.42in$

Hence, the arc length of the circle is 9.42 inches