Geometrymedium · Past Paper

If the length of an arc of a circle of radius 14 cm is 22 cm, find the central angle subtended by it.

A45 degrees
B60 degrees
C90 degrees
D120 degrees

✓ Correct Answer: C90 degrees

Arc length = (theta/360) * 2 * pi * r => 22 = (theta/360) * 2 * (22/7) * 14 => 22 = (theta/360) * 88 => theta = 90.

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