Question : The radius of a circle is 21 cm. What will be the length (in cm) of an arc of the circle that subtends a 22.5° angle at the centre? [Use $\pi=\frac{22}{7}$]
Option 1: 8.25
Option 2: 7.25
Option 3: 8.50
Option 4: 7.50
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Correct Answer: 8.25
Solution : We know that arc length = $\frac{2\pi r \times \theta}{360}$ So, given $\theta = 22.5°$ Radius of circle = $21$ cm $\therefore$ Length of the arc = $\frac{2 \times 22 \times 21 \times 22.5}{360 \times 7}$ = 8.25 cm Hence, the correct answer is 8.25.
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