SSC CHSL 12 Apr 2021 Shift 2 Paper

Section: Quantitative Aptitude

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Question : 55 of 100

Marks: +1, -0

Find the area (in

{cm}^{2}

) and the diameter (in

{cm})

, respectively of a circle whose circumference is

40 π

{cm}

?

$400 π$ and 40
40 and $400 π$
400 and 40
40 and 400

Solution:

Given, circumference of a circle

=40 π {cm}

Let the radius of the circle be

\r {cm}

.

∴ \;\; 2 π r \;\; =40 π

2 r \;\; =\;\text " diameter "\;=40 {cm}

r \;\; =20 {cm}

\;\text " and area "\; \;\; =π r^{2}=π ×(20)^{2}=400 π

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