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Q.

Find the area of circle with diameter $6 unit$ .

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a

\frac{292}{7}

b

\frac{392}{8}

c

\frac{792}{7}

d

\frac{892}{8}

answer is C.

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Detailed Solution

First, find out the radius of the circle.
Given diameter

= 6 unit

Diameter of circle is twice its radius.

Radius (R) = \frac{D}{2}

(where

D

is the diameter of the circle)

\Rightarrow R = \frac{6}{2} unit

\Rightarrow R = 3 unit

So, Area of circle = π

r^{2}

\Rightarrow A = \frac{22}{7} . 3 . 3 unit

2

\Rightarrow A = \frac{792}{7} unit

2

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Find the area of circle with diameter 6 unit.