I need to find the area of a shaded part. it is a square with a circle the measurements that I have are pi = 3.14 and 15 ft by 15 ft. I know to find the area of the square I take base x height but cannot figure out correct formula for subtracting the circle.
To find the area of a circle, multiply the radius squared (7.5 x 7.5 ft) by pi (3.14). Subtract the circle's area from the square's area.
http://www.mathgoodies.com/lessons/vol2/circle_area.html
What is the area of a circle with radius 7.5?
To find the area of a shaded part, you'll need to find the area of the square and subtract the area of the circle. Here are the steps:
1. Start by calculating the area of the square. The area of a square is given by multiplying the length of one side by itself. In this case, the length of one side is 15 ft. So the area of the square is 15 ft x 15 ft = 225 sq ft.
2. Next, calculate the area of the circle. The area of a circle is given by multiplying the radius squared by pi. The radius of the circle is half of the side length of the square, which is 15 ft / 2 = 7.5 ft. Therefore, the area of the circle is pi (3.14) multiplied by the square of the radius (7.5 ft x 7.5 ft) = 3.14 x 56.25 sq ft = 176.625 sq ft.
3. Finally, subtract the area of the circle from the area of the square to find the shaded part's area. Subtracting 176.625 sq ft from 225 sq ft gives you the shaded part's area: 225 sq ft - 176.625 sq ft = 48.375 sq ft.
Therefore, the area of the shaded part is 48.375 sq ft.
To find the shaded area, you can follow these steps:
1. Find the area of the square:
The area of a square is given by the formula: A = side^2.
In this case, the side of the square is 15 ft, so the area of the square is (15 ft)^2 = 225 ft^2.
2. Find the area of the circle:
The area of a circle is given by the formula: A = pi * radius^2.
In this case, the radius of the circle is half the length of a side of the square, which is 15 ft / 2 = 7.5 ft.
Plugging in the values, the area of the circle is 3.14 * (7.5 ft)^2 = 3.14 * 56.25 ft^2 ≈ 176.625 ft^2.
3. Subtract the area of the circle from the area of the square:
Shaded area = Area of the square - Area of the circle.
Shaded area = 225 ft^2 - 176.625 ft^2 = 48.375 ft^2.
Therefore, the shaded part has an area of approximately 48.375 square feet.