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Find the indicated measure. Round to the nearest hundredth, if necessary.

Find the indicated measure. Round to the nearest hundredth, if necessary.-example-1
User Weisk
by
7.3k points

1 Answer

1 vote

Answer:

1.99 radians or 114.02°

Explanation:

You want the measure of a circular arc of length 23.88 inches and radius 12 inches.

Arc length

The equation relating angle, radius, and arc length is ...

s = rθ . . . . . . s = arc length, r = radius, θ = central angle in radians

Solving for θ gives ...

θ = s/r = (23.88 in)/(12 in) = 1.99 radians

The corresponding arc measure in degrees is ...

1.99 radians × 180°/π ≈ 114.02°

The measure of arc AB is 1.99 radians, about 114.02°.

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Find the indicated measure. Round to the nearest hundredth, if necessary.-example-1
User Packie
by
7.6k points

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