Question 63

Find measure of central angle of the arc whose length is 22 cm and radius of the circle is 28 cm?

Solution

Radius = 28 cm and let central angle = $$\theta$$

Length of arc = $$\frac{\theta}{360} \times 2 \pi r = 22$$

=> $$\frac{\theta}{360} \times 2 \times \frac{22}{7} \times 28 = 22$$

= $$\frac{\theta}{360} \times 2 \times 4 = 1$$

=> $$\theta = \frac{360}{8} = 45$$°

=> Ans - (B)

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