what is the area of the shaded part of the diagram.
the diagram shows a circle inscribed in a square, L 12 m, W 12 m.
use 3.14 as an estimate for pi
To find the area of the shaded part, we first need to find the area of the square.
The area of a square is given by the formula: A = side^2.
Given that the length and width of the square are both 12 m, the area of the square is: A = 12^2 = 144 square meters.
Next, we need to find the area of the circle.
The area of a circle is given by the formula: A = πr^2.
Since the circle is inscribed in the square, the diameter of the circle is equal to the side length of the square. Therefore, the radius of the circle is half the length of the side of the square, which is 12/2 = 6 m.
Substituting the radius into the area formula, we have: A = 3.14 * (6)^2 = 113.04 square meters.
Finally, we subtract the area of the circle from the area of the square to find the area of the shaded part:
Area of shaded part = Area of square - Area of circle
= 144 - 113.04
= 30.96 square meters.
Therefore, the area of the shaded part is approximately 30.96 square meters.