ABCD is a square of side 21 cm. A circle is inscribed in the square, which touches the sides of the square at P, Q, R and S as shown below in the figure. What is the area (in cm2) of the non-shaded region? [Figure is not drawn to scale.] $(π = \frac{22}{7})$
Answer & explanation
Correct answer: option 4
Area of square = 21 × 21 = 441 cm²
Radius of circle = \(\frac{21}{2}\) = 10.5 cm
Area of circle = πr²
= \(\frac{22}{7}\) × 10.5 × 10.5
= 346.5 cm²
Area od non - shaded region = 441 - 346.5
= 94.5 cm²