(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 Areas of Sector and Segment of a Circle

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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Areas of Sector and Segment of a Circle

The area of a circle is $200 \, cm^{2}$. Then,the area of a minor sector of that circle can be $\ldots \ldots \ldots \, cm^{2}$.

Easy

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Area of a sector of angle $p$ (in degrees) of a circle with radius $R$ is

Medium

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Find the area of the shaded design in the figure where $ABCD$ is a square of side $10 \, cm$ and semicircles are drawn with each side of the square as diameter. (in $cm^2$) (Use $\pi = 3.14$)

Difficult

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Which of the following correctly matches the information given in Part $I$ and Part $II$?

Part $I$ Part $II$

$1.$ Formula to find the length of a minor arc $a.$ $C=2\pi r$

$2.$ Formula to find the area of a minor sector $b.$ $A=\pi r^{2}$

$3.$ Formula to find the area of a circle $c.$ $l=\frac{\pi r \theta}{180}$

$4.$ Formula to find the circumference of a circle $d.$ $A=\frac{\pi r^{2} \theta}{360}$

Medium

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Find the area of the segment of a circle of radius $12 \, cm$ whose corresponding sector has a central angle of $60^{\circ}$ (Use $\pi = 3.14$).

Difficult

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Part $I$	Part $II$
$1.$ Formula to find the length of a minor arc	$a.$ $C=2\pi r$
$2.$ Formula to find the area of a minor sector	$b.$ $A=\pi r^{2}$
$3.$ Formula to find the area of a circle	$c.$ $l=\frac{\pi r \theta}{180}$
$4.$ Formula to find the circumference of a circle	$d.$ $A=\frac{\pi r^{2} \theta}{360}$

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 $\ldots \ldots \ldots \, cm^2$.

Similar Questions

The area of a circle is $200 \, cm^{2}$. Then,the area of a minor sector of that circle can be $\ldots \ldots \ldots \, cm^{2}$.

Area of a sector of angle $p$ (in degrees) of a circle with radius $R$ is

Find the area of the shaded design in the figure where $ABCD$ is a square of side $10 \, cm$ and semicircles are drawn with each side of the square as diameter. (in $cm^2$) (Use $\pi = 3.14$)

Find the area of the segment of a circle of radius $12 \, cm$ whose corresponding sector has a central angle of $60^{\circ}$ (Use $\pi = 3.14$).

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