Question

two semicircles are used to make the shaded shape below one semiciricle has a diameter of 16 cm and the other has a diameter of 20 cm work out the area of the shaded shape

Answers

  1. Answer: ≈257.6106
    I do not have a diagram so this may be incorrect, but find the the area of the 16 diameter semicircle, find the area of the 20 diameter semicircle, and then add them both together.

    Formula: A=1/2pir^2; Total area=A1+A2

    Step one: A1=(1/2)pi(8^2)
    A1=1/2pi(64)=32pi

    Step two: A2=(1/2)pi(10^2)
    A2=1/2pi(100)=50pi

    Step three: 50pi+32pi= 82pi≈257.6106

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