(C) The formula for the area of a minor sector is given by: $\text{Area} = \frac{\pi r^{2} \theta}{360^{\circ}}$.Given radius $r = 42\,cm$ and central

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(C) The formula for the area of a minor sector is given by: $\text{Area} = \frac{\pi r^{2} \theta}{360^{\circ}}$.Given radius $r = 42\,cm$ and central angle $\theta = 120^{\circ}$.Substituting the values: $\text{Area} = \frac{22}{7} \times 42 \times 42 \times \frac{120^{\circ}}{360^{\circ}}$.Simplifying the expression: $\text{Area} = \frac{22}{7} \times 42 \times 42 \times \frac{1}{3}$.$\text{Area} = 22 \times 6 \times 14 = 1848\,cm^{2}$.

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

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In a circle with radius $42\,cm$,an arc subtends an angle of measure $120^{\circ}$ at the centre. Then,the area of the minor sector formed by that arc is $\ldots \ldots \ldots \,cm^{2}$.

A
$924$
B
$44$
C
$1848$
D
$1760$

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Mix Examples - Areas Related to Circles

$A$ chord of a circle of radius $20\, cm$ subtends an angle of $90^{\circ}$ at the centre. Find the area of the corresponding major segment of the circle. (Use $\pi=3.14$) (in $cm^2$)

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In a circle with radius $42\,cm$,an arc subtends an angle of measure $120^{\circ}$ at the centre. Then,the area of the minor sector formed by that arc is $\ldots \ldots \ldots \,cm^{2}$.

Similar Questions

$A$ chord of a circle of radius $20\, cm$ subtends an angle of $90^{\circ}$ at the centre. Find the area of the corresponding major segment of the circle. (Use $\pi=3.14$) (in $cm^2$)

The length of the minute hand of a clock is $6 \, cm$. The area of the region swept by it in $10 \, \text{minutes}$ is $\ldots \ldots \ldots \ldots \, cm^2$. $(\pi = 3.14)$

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