Question

Use the following information to answer all parts of question 3.3a: What is the area of the triangle? (Area of triangle = 1/2*b*h)

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3b: What is the area of the semicircle? Round your answer to the nearest tenth. (Area of circle = π*r^2)

Answer 1

See below ~

Explanation:

3a : Area of the triangle

• A = 1/2bh
• A = 1/2 x 10 x 8
• A = 5 x 8
• A = 40 m²

3b : Area of the semicircle

• Finding the radius (equal to 1/2 of the triangle hypotenuse)
• Apply Pythagorean Theorem here
• √8² + 10² = d
• √64 + 100 = d
• d = √164
• d = 2√41
• r = √41

• A = πr²/2
• A = 3.14 x (√41)² / 2
• A = 1.57 x 41
• A = 64.4 m² (nearest tenth)