beast31107 beast31107

22-04-2018
Mathematics

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what is the area of the shaded region.Round to the nearest tenth.

what is the area of the shaded regionRound to the nearest tenth class=

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sqdancefan sqdancefan

03-05-2018

The area of the circle is
Area = π·r² = π·(10 cm)² = 100π cm²

The area of the regular pentagon is
Area = (5/2)sin(72°)·(10 cm)² = 250·sin(72°) cm²

The shaded area is the difference of these:
(100π -250sin(72°)) cm² ≈ 76.4 cm²

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