1. The area of the triangle = 40 m².
2. The area of the semicircle = 64.3 m²
What is the Area of a Triangle?
Area = 1/2(base × height)
What is the Area of a Semicircle?
Area = 1/2(πr²)
1. Area of the Triangle = 1/2(base × height) = 1/2(10 × 8)
Area of the triangle = 40 m².
2. Use Pythagorean Theorem to find the hypotenuse of the triangle which is the diameter of the semicircle.
Hypotenuse = √(10² + 8²) = 12.8 m
Radius of the semicircle = 12.8/2 = 6.4 m
Area of the semicircle = 1/2(3.14 × 6.4²) = 64.3 m²
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