Question

Will it be true to say that the perimeter of a square circumscribing a circle of radius $a\mathrm{cm}$ is $8a\mathrm{cm}$? Give reasons for your answer.

Answer 1

Explanation.

Let the radius of a circle is $a\mathrm{cm}$.

Now, the side of the square is equal to the diameter of the circle

So, side of the square $=2\times a\mathrm{cm}$

Formula for perimeter of square is given by , $P=4\times \mathrm{side}$

Now,

$$\begin{gathered} P=4\times 2a \\ =8a\mathrm{cm} \end{gathered}$$

Thus, the given statement is true.