Question

A circle is inscribed in a square as shown. If the radius of the circle is 4 cm, what is the area of the remaining square? (Use $\pi =\frac{22}{7}$)

• A. $14c{m}^2$
• B. $13.63c{m}^2$
• C. $13.72c{m}^2$
• D. $14.28c{m}^2$

Answer 1

The correct option is C $13.72c{m}^2$

Since the radius of the circle is 4 cm, the length of the square's side will be the diameter of the circle which is 8 cm.

Area of square $=8\times 8=64c{m}^2$
Area of circle $=\frac{22}{7}\times 4\times 4=50.28c{m}^2$

Area of the remaining square = 64 - 50.28 = $13.72c{m}^2$