Answer:
357.08 in²
Explanation:
In the problem, we are given two figures (a semicircle and a triangle). To find the area of the entire figure, we find the area of each figure and add them together.
Given information:
- The radius of the semicircle: 10 in.
- The base and height of the triangle: 20in. (base) and 20 in. (height).
Area of a semi circle: 1/2 × r² × π
1/2 × (10)² × π
1/2 × 100 × π
50π ≈ 157.08 in²
Area of a triangle: 1/2 × base × height
1/2 × 20 × 20
1/2 × 400
200 in²
As 10 is the radius of the semicircle, and the diameter of a semicircle is twice the radius, the height of the triangle is 2 × 10, or 20 inches.
Total area: Area of the semicircle + Area of the triangle
157.08 + 200
357.08 in²