The angle of a sector of a circle is $90^{\circ}$ . The ratio of the area of the sector and that of the circle is ______.

A

$4 : 1$

B

$3 : 1$

C

$1 : 4$

D

$3 : 1$

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Verified by Experts

The correct Answer is: $C$

$Area of circle = π r^{2}$
$Area of sector = \frac{90^{\circ}}{360^{\circ}} \times π r^{2}$
$The required ratio = \frac{90^{\circ}}{360^{\circ}} \times π r^{2} : π r^{2} \Rightarrow \frac{1}{4} : 1$
$\Rightarrow 1 : 4$

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Updated on:21/07/2023

Class 7 MATHS PERIMETER AND AREA

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