Question

How would you find the area of the shaded region?

• A. Area of the square - Area of quarter circle
• B. Area of square + Area of quarter circle
• C. Area of square - (4 $\times$ Area of one quarter circle)
• D. Area of square + (4 $\times$ Area of quarter circle)

Answer 1

The correct option is C Area of square - (4 $\times$ Area of one quarter circle)

Area of the shaded region = Area of square - Area of the four quarter circles
$=a^2$ - $(4\times \frac{\pi r^2}{4})$
$=a^2$ - $\pi r^2$
where a is the side of the square, r is the radius of the circle.