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Find the area of the circle that can be inscribed in a square of side $6\ cm$.
Given: Circle that can be inscribed in a square of side $6\ cm$.
To do: To find the area of the circle.
Solution:
As shown in the figure, side of the square $AB=BC=CD=DA=6\ cm$
$XY$ is the diameter of the circle, inscribed in the square $ABCD$
$\therefore PR=$side of the square$=6\ cm$
$\therefore Radius=\frac{6}{2}=3$
Area $=\pi r^2$
$=\frac{22}{7}\times 3^2$
$=\frac{22}{7}\times 9$
$\therefore$ Area of circle$=28.28\ cm^2$
Updated on: 10-Oct-2022
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