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

The asthenosphere is found between the mesosphere and the lithosphere....

Given a radius of 9 inches, estimate the length

payshencec21

09.01.2022

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.

The arc length of the circle is 9.42 inches

Step-by-step explanation:

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

$S=2\pi r(\frac{\theta}{360})$

where,

S = arc length = ?

r = radius of the circle = 9 inches

$\theta$ = central angle = 60°

Putting values in above equation, we get:

$S=2\times 3.14\times 9\times (\frac{60}{360})\\\\S=9.42in$

Hence, the arc length of the circle is 9.42 inches

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