Question

A sector of a circle of radius 7cm has a central angle of 75 degrees.find the area of that sector

Answer 1

Answer:

30.08

Step-by-step explanation:

area of sector = x°/360 πr^2

radius is 7cm

angle is 75°

$= \frac{75}{360} \times \frac{22}{7} \times 7 \times 7 \\ = \frac{15}{72} \times 22 \times 7 \\ = \frac{5}{24} \times 22 \times 7 \\ = \frac{5}{12} \times 77 \\ = \frac{385}{12} \\ = 30.08 {cm}^{2}$

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