Question : Find the length of the arc whose central angle is 45° and the radius of the circle is 28 cm.
Option 1: 11 cm
Option 2: 33 cm
Option 3: 44 cm
Option 4: 22 cm
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Correct Answer: 22 cm
Solution :
Given:
Central angle = 45°
The radius of the circle = 28 cm
Length of the arc = $2\pi r×\frac{\theta}{360°}$, where $r$ = radius of the circle, $\theta$ = central angle
= $2×\frac{22}{7}×28×\frac{45°}{360°}$
= $22\ \text{cm}$
Hence, the correct answer is 22 cm.
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