The area of the circle that can be

Question:

The area of the circle that can be inscribed in a square of side 6 cm is

(a) 36π cm2                

(b) 18π cm2                       

(c) 12π cm2                           

(d) 9π cm2

Solution:

(d) Given, side of square $=6 \mathrm{~cm}$

$\therefore$ Diameter of a circle, $(d)=$ Side of square $=6 \mathrm{~cm}$

$\therefore \quad$ Radius of a circle $(r)=\frac{d}{2}=\frac{6}{2}=3 \mathrm{~cm}$

$\therefore \quad$ Area of circle $=\pi(r)^{2}$

$=\pi(3)^{2}=9 \pi \mathrm{cm}^{2}$

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