(C) Given,radius $r = 14 \, cm$.Since $\overline{OA} \perp \overline{OB}$,the central angle $\theta = 90^\circ$.The formula for the area of a minor se

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(C) Given,radius $r = 14 \, cm$.Since $\overline{OA} \perp \overline{OB}$,the central angle $\theta = 90^\circ$.The formula for the area of a minor sector is $\frac{\theta}{360^\circ} \times \pi r^2$.Substituting the values: $\text{Area} = \frac{90}{360} \times \frac{22}{7} \times 14 \times 14$.$\text{Area} = \frac{1}{4} \times 22 \times 2 \times 14$.$\text{Area} = \frac{1}{4} \times 616 = 154 \, cm^2$.

Class 10 Mathematics Areas Related to Circles Mix Examples - Areas Related to Circles

Medium

In a circle with radius $14 \, cm$,$\overline{OA}$ and $\overline{OB}$ are radii perpendicular to each other. Then,the area of the minor sector corresponding to $\angle AOB$ is $\ldots \ldots \ldots \, cm^2$.

A
$616$
B
$308$
C
$154$
D
$77$

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Areas Related to Circles

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Mix Examples - Areas Related to Circles

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In a circle with radius $14 \, cm$,$\overline{OA}$ and $\overline{OB}$ are radii perpendicular to each other. Then,the area of the minor sector corresponding to $\angle AOB$ is $\ldots \ldots \ldots \, cm^2$.

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The length of a minor arc in a circle with radius $28 \ cm$ is $22 \ cm$. Find the measure of the angle subtended at the centre by this arc. Also,find the area of the sector formed by this arc.

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