In Exercise, find the radian measure of the angle θ.

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Question

In Exercise, find the radian measure of the angle θ.

math precalculus

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Answer 1

Answer #1

The arc length of the circle is and the circle has radius.

The central radian of a circle is divisor of the arc length over the radius of the circle.

Mathematically,

We apply the central angle formula with and , therefore

Thus, the central angle is.

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Answer 2

Answer #2

The arc length of the circle is and the circle has radius.

The central radian of a circle is divisor of the arc length over the radius of the circle.

Mathematically,

We apply the central angle formula with and , therefore

Thus, the central angle is.

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Answer 3

The arc length of the circle is and the circle has radius.

The central radian of a circle is divisor of the arc length over the radius of the circle.

Mathematically,

Answer 4

We apply the central angle formula with and , therefore

Thus, the central angle is.

Answer 5

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In Exercise, find the radian measure of the angle θ.

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In Exercise, find the radian measure of the angle θ.

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In Exercise, find the radian measure of the angle θ.