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The figures below are semicircles and squares. Find the perimeter and the area of each shape. Give your answer as a completely simplified exact value in terms of pi (no approximations). Please give both area and perimeter.

The Figures Below Are Semicircles And Squares Find The Perimeter And The Area Of Each Shape Give Your Answer As A Completely Simplified Exact Value In Terms Of class=

Sagot :

ChoiSungHyun

Step-by-step explanation:

Perimeter of a semicircle = 0.5πd.

Perimeter of big semicircle = (0.5)(π)(18cm) = 9πcm

Perimeter of 3 small semicircles = (1.5)(π)(6cm) = 9πcm

Hence total perimeter = 9πcm + 9πcm = 18πcm.

Area of a semicircle = 0.5πr²

Area of big semicircle = (0.5)(π)(9cm)² = 40.5πcm²

Area of 3 small semicircles = (1.5)(π)(3cm)² = 13.5πcm².

Hence total area = 40.5πcm² + 13.5πcm² = 54πcm².

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