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 $)=4 \times 2 \mathrm{a}$

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

Leave a comment

Close
faculty

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now