(A) The formula for the area of a sector is given by: $\text{Area} = \frac{\theta}{360^{\circ}} \times \pi r^{2}$.Given radius $r = 30\,cm$,angle $\th

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(A) The formula for the area of a sector is given by: $\text{Area} = \frac{\theta}{360^{\circ}} \times \pi r^{2}$.Given radius $r = 30\,cm$,angle $\theta = 60^{\circ}$,and $\pi = 3.14$.Substituting the values into the formula:$\text{Area} = \frac{60}{360} \times 3.14 \times (30)^{2}$$\text{Area} = \frac{1}{6} \times 3.14 \times 900$$\text{Area} = 3.14 \times 150$$\text{Area} = 471\,cm^{2}$.

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

Easy

In a circle with radius $30\,cm$,a minor arc subtends an angle of measure $60^{\circ}$ at the centre. Then,the area of the minor sector formed by that arc is $\ldots \ldots \ldots \ldots$ $cm^{2}$. $(\pi = 3.14)$

A
$471$
B
$628$
C
$1256$
D
$942$

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Mix Examples - Areas Related to Circles

$\widehat{ACB}$ is a minor arc of $\odot(O, 8 \, cm)$. If $m\angle AOB = 45^\circ$, the length of minor $\widehat{ACB}$ is $\dots \, cm$. (in $\pi$)

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The areas of two sectors of two different circles are equal. Is it necessary that their corresponding arc lengths are equal? Why?

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In a circle with radius $r$,the area of a sector formed by an arc of length $l$ is.........

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In a circle with radius $8.4 \, cm$,a minor arc subtends an angle of $60^{\circ}$ at the centre. Find the area of the minor sector and the major sector corresponding to this arc.

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The area of a minor sector of $\odot(P, 30)$ is $300 \, cm^2$. The length of the arc corresponding to it is .......... $cm$.

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In a circle with radius $30\,cm$,a minor arc subtends an angle of measure $60^{\circ}$ at the centre. Then,the area of the minor sector formed by that arc is $\ldots \ldots \ldots \ldots$ $cm^{2}$. $(\pi = 3.14)$

Similar Questions

$\widehat{ACB}$ is a minor arc of $\odot(O, 8 \, cm)$. If $m\angle AOB = 45^\circ$, the length of minor $\widehat{ACB}$ is $\dots \, cm$. (in $\pi$)

The areas of two sectors of two different circles are equal. Is it necessary that their corresponding arc lengths are equal? Why?

In a circle with radius $r$,the area of a sector formed by an arc of length $l$ is.........

In a circle with radius $8.4 \, cm$,a minor arc subtends an angle of $60^{\circ}$ at the centre. Find the area of the minor sector and the major sector corresponding to this arc.

The area of a minor sector of $\odot(P, 30)$ is $300 \, cm^2$. The length of the arc corresponding to it is .......... $cm$.

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