A circle has a radius of 13m Find the length of the arc intercepted by a central angle of .9 radians. Do not round any intermediate computations, and round your answer to the nearest tenth.

Respuesta :

Answer:

11.7 m

Explanation:

The radius of the circle is 13 m.

The central angle of the arc is 0.9 radians

The length of an arc is given as:

L = r θ

where θ = central angle in radians = 0.9

=> L = 0.9 * 13 = 11.7 m

Length of the arc will be 11.7 m ≈ 10 m

What is an arc length?

Arc length refers to the distance between two points along a curve’s section.

Arc length = radius * theta

where

Arc length  = ? to find

given :

radius = 13 m

theta ( central angle) = 0.9 radians

Arc length = 13 m * 0.9 radians

                = 11.7 m ≈ 10 m

length of the arc will be 11.7 m ≈ 10 m

Learn more about Arc length

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