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Given a central angle theta in a circle with a radius of 5 inches and an arc length of 10 inches, calculate the radian measure of theta.

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Final answer:

The radian measure of the angle is 2 radians.

Step-by-step explanation:

The radian measure of an angle is equal to the ratio of the arc length to the radius of the circle.

In this case, the given arc length is 10 inches and the radius is 5 inches.

To calculate the radian measure of the angle, divide the arc length by the radius:

radian measure = arc length / radius

Therefore, the radian measure of the angle is:

radian measure = 10 inches / 5 inches = 2 radians

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