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Yuki888 [10]
3 years ago
7

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 3.1

4 for pi, and do not round your answer. Be sure to include the correct unit in your answer.

Mathematics
1 answer:
RideAnS [48]3 years ago
5 0

Answer:

  • 27.93 cm²

Step-by-step explanation:

<u>Given dimensions:</u>

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

<u>Find the area of semicircle:</u>

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

<u>Find the area of triangle:</u>

  • A₂ = 1/2bh = 1/2*14*7 = 49 cm²

<u>Find the shaded area:</u>

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