Question

a triangle is placed in a semicircle with a radius of 7cm, as shown below. Find the area of the shaded region. Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.

Answer 1

• 27.93 cm²

Explanation:

Given dimensions:

• r = 7 cm
• b = 2r = 14 cm
• h = r = 7 cm

Find the area of semicircle:

• A₁ = 1/2πr² = 1/2*3.14*7² = 76.93 cm²

Find the area of triangle:

• A₂ = 1/2bh = 1/2*14*7 = 49 cm²

Find the shaded area:

• A = A₁ - A₂ = 76.93 - 49 = 27.93 cm²