Question

a circle is placed in a square with a side length of 6yd, as shown below. Find the area of the shaded region. Use the value 3.14 for (), and do not round your answer.

Answer 1

7.74 yd²

Explanation:

• Area (shaded) = Area (square) - Area (circle)
• Area (shaded) = 6 x 6 - 3.14 x 3 x 3
• [ Note : radius of circle = 1/2 of the side of the square]
• Area (shaded) = 36 - 28.26
• Area (shaded) = 7.74 yd²

Answer 2

7.74 yd²

Explanation:

The shaded area can be calculated by subtracting the area of the circle from the area of the square.

Given:

• side length of square = 6 yd
• radius of circle = half of side length = 3 yd
• π = 3.14

Area of the square = side length × side length

= 6 × 6

= 36 yd²

Area of the circle = πr²

= 3.14 × 3²

= 28.26 yd²

Shaded area = area of square - area of circle

= 36 - 28.26

= 7.74 yd²