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Q.

The area of a sector of a circle of radius 7cm and central angle $45 °$ is

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a

154 {cm}^{2}

b

77 {cm}^{2}

c

5.5 {cm}^{2}

d

19.25 {cm}^{2}

answer is B.

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Detailed Solution

Area of sector

= \frac{x}{360} \times π r^{2}

$= \frac{45}{360} \times \frac{22}{7} \times 7 \times 7$

$= \frac{77}{4}$

$= 19.25 {cm}^{2}$

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The area of a sector of a circle of radius 7cm and central angle 45° is