Mathematics

Problem

An arc of a circle is

15\,\text{cm}

long and subtends a central angle of

3\,\text{radians}

. Find the radius of the circle. a)

10\,\text{cm}

2.5\,\text{cm}

5\,\text{cm}

5\pi\,\text{cm}

Intuitive explanation

The key relationship here is the arc length formula: $s = r\theta$ , where $s$ is arc length, $r$ is radius, and $\theta$ is the central angle in radians. Since you're given both the arc length and the angle, you can rearrange this formula to solve directly for the unknown radius—no need for conversions or complex geometry.

Intuitive explanation

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