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SSAT Upper Level
Quantitative (Math)

Angle Subtended by an Arc in a Circle

Hard Geometry And Measurement Circles

In a circle, points A, B, and C are located on the circumference. If the radius of the circle is 10 cm and the arc length from A to B is 8 cm, what is the measure of the angle at the center of the circle (O) subtended by the arc AB (in degrees)? Use the formula for arc length $s = r \theta$, where $s$ is the arc length, $r$ is the radius, and $\theta$ is the angle in radians.

First, convert the arc length into radians and then convert that angle into degrees.

Hint

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