A rectangle is placed around a semicircle. The width of the rectangle is 8cm. Find the are of the shaded region. Ise the valie 3.14 for pi do npt round answer

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Mathematics

Aryanna Holden

12 February, 10:14

A rectangle is placed around a semicircle. The width of the rectangle is 8cm. Find the are of the shaded region. Ise the valie 3.14 for pi do npt round answer

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Mathew Fleming · Answer 1

You are given a rectangle that is placed around a semicircle. You are also given the width of the rectangle that is 8cm. You are asked to find the area of the shaded region. Let us assume that the semicircle is inscribed in the rectangle or inside the rectangle so that the diameter of the semicircle is the same as the side of the rectangle. Let us also assume that the shaded region are the ones not inside the semicircle.

Area of a circle = πD²/4

Area of a circle = π (8cm) ²/4

Area of a circle = 16π cm²

Area of the rectangle = LW

Area of the rectangle = (8cm) (4cm)

Area of the rectangle = 32 cm²

Area of the shaded region = 16π cm² - 32 cm²Area of the shaded region = 18.265cm²