Question

Find the area of the sector of a circle of radius 28cms and central angle 45 is

Answer 1

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Answer 2

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Radius = 28 cm

Measure of central angle $\theta= 45°$

$\therefore$ Area of sector of a circle $= \frac {\pi r²}{360°} \times \theta$

$= \frac {22}{7} \times \frac {(28)²}{360} \times 45° \\\\\ = \frac{22 \times 28 \times 28}{7} \times \frac {45°}{360°} \\\\\ = 22 \times 4 \times 28 \times {\frac {1}{8}} \\\\\ = 22 \times 14 \\\\\ = 308~cm²$