To find the area of the shaded region, we first need to find the area of the circle and the area of the triangle.
The area of a circle is calculated using the formula A = πr^2, where r is the radius of the circle. In this case, the diameter is given as 12 inches, so the radius is half of that, or 6 inches.
Area of the circle = π(6 inches)^2 = 36π square inches (approximately 113.04 square inches)
The area of a triangle is calculated using the formula A = (1/2)bh, where b is the base of the triangle and h is the height. In this case, the base is given as 7 inches and the height is given as 10 inches.
Area of the triangle = (1/2)(7 inches)(10 inches) = 35 square inches
To find the shaded area, we subtract the area of the triangle from the area of the circle.
Shaded area = Area of the circle - Area of the triangle = 113.04 - 35 = 78.04 square inches
Therefore, the area of the shaded region is 78.04 in2.
The circle below has a diameter of 12 inches. Find the area of the shaded area in the figure below.
A circle has a triangle inside. The corners of the triangle touch the outside edge of the circle. The triangle has a height of 10 inches and a base of 7 inches.
The circle below has a diameter of 12 inches. Find the area of the shaded area in the figure below.
A circle has a triangle inside. The corners of the triangle touch the outside edge of the circle. The triangle has a height of 10 inches and a base of 7 inches.
148.04 in2
113.04 in2
78.04 in2
35 in2
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