Question 56

What is the length of the arc whose central angle is 30° and radius of the circle is 21 cm?

Solution

Central angle = $$\theta = 30$$° and radius = $$r = 21$$ cm

Length of arc = $$\frac{\theta}{360} \times 2 \pi r$$

= $$\frac{30}{360} \times 2 \times \frac{22}{7} \times 21$$

= $$\frac{1}{12} \times 44 \times 3 = 11$$ cm

=> Ans - (D)

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