Circle Inscribed in a Square

Q. Given a Circle is inscribed in a square of side each 10 cm. What is the ratio of the area of the circle to the area of the square?

1. $\frac{\pi }{2}$
2. $\frac{\pi }{6}$
3. $\frac{\pi }{4}$
4. $\frac{\pi }{8}$

Q. A Circle is inscribed in a square of side 10 units. What would be the ratio of the circumference of the circle to the perimeter of the square if the sides of the square were changed to S?

1. $\frac{\pi }{6}$
2. $\frac{\pi }{4}$
3. $\frac{\pi }{3}$
4. $\frac{\pi }{2}$

Q. Sides of a square in inscribed circle are

1. Perpendicular to circle
2. Parallel to circle
3. Tangent to the circle
4. Both (a) and (b) above

Q. A circle of radius $\sqrt{7}$ cm is inscribed in a square. Find the area of the shaded region. $(\text{use}\pi =\frac{22}{7})$

${\text{cm}}^2$

Q.

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

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. A Circle is inscribed in a square. It means that the circle is

1. Touching the square
2. Outside the square
3. Inside the square

Q. A Circle is inscribed in a Square. The side length of the square is 10 cm. The ratio of the circumference of circle to the Perimeter of square is

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

Q. A Circle is inscribed in a square. What would be the ratio of area of the circle to the area of square if the sides of square were changed to $S$ ?

1. $\frac{\pi }{6}$
2. $\frac{\pi }{4}$
3. $\frac{\pi }{2}$

Q. If a circle is inscribed in a square, then

1. $\frac{\text{Area of the circle}}{\text{Area of the square}}=\frac{\pi }{2}$
2. $\frac{\text{Area of the circle}}{\text{Area of the square}}=\frac{\pi }{4}$
3. $\frac{\text{Circumference of the circle}}{\text{Perimeter of the square}}=\frac{\pi }{4}$
4. $\frac{\text{Circumference of the circle}}{\text{Perimeter of the square}}=\frac{\pi }{2}$