The diameter of the semicircle is 58 mm. The radius of each small circle is 5 mm. What is the exact area of the shaded region in the figure below? Do NOT round at any point!

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asked Sep 17, 2019 152k views

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Kevin Beal · Answer 1 · 2019-09-23T19:13:50+0000

The radius of the semicircle is 58÷2= 29 mm
The area of the semicircle is πR²/2= π×29²/2=841π/2=420,5 π mm²
The area of each small circle is πr²= π×5²= 25 π mm²
The area of the shaded region is 420,5π - 3×25π = 420,5π-75π=345,5π mm²

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The diameter of the semicircle is 58 mm. The radius of each small circle is 5 mm. What is the exact area of the shaded region in the figure below? Do NOT round at any point!

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