Will it be true to say that the perimeter

Question:

Will it be true to say that the perimeter of a square circumscribing a circle of radius a cm is 80 cm? Give reason for your answer.

Solution:

True

Given, radius of circle, $r=\mathrm{a} \mathrm{cm}$

$\therefore$ Diameter of circle, $d=2 \times$ Radius $=2 \mathrm{acm}$

$\therefore \quad$ Side of a square $=$ Diameter of circle

$=2 \mathrm{a} \mathrm{cm}$

$\therefore$ Perimeter of a square $=4 \times($ Side $)=4 \times 2 \mathrm{a}$

$=8 \mathrm{a} \mathrm{cm}$

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