Circle Inscribed in a Square

Q.

Find perimeter of the square, if radius of the circle is 3 cm.
cm

Q.
Given that the circle is inscribed in the given square, would the ratio of the cicumference of the circle to the perimeter of the square or the ratio of the area of the circle to the area of the square change if the length of the square were to be changed?

1. Yes
2. No
3. Cannot Establish

Q. Given that the circle is inscribed in the given square, what is the ratio of the circumference of the circle to the perimeter of the square?

1. $\frac{\pi }{2}$
2. $\frac{\pi }{3}$
3. $\frac{\pi }{4}$
4. $\frac{\pi }{5}$

Q. What is the area of a circle that is inscribed in a square of side 4 m?

1. $2\pi {\text{m}}^2$
2. $\pi {\text{m}}^2$
3. $4\pi {\text{m}}^2$
4. $8\pi {\text{m}}^2$

Q. Given that the circle is inscribed in the given square, what is the ratio of the area of the circle to the area of the square?

1. $\frac{\pi }{2}$
2. $\frac{\pi }{3}$
3. $\frac{\pi }{4}$
4. $\frac{\pi }{5}$