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Margarita [4]
3 years ago
5

What is the area of a Reuleaux triangle that has a diameter of 18.6 m? Round your answer to the nearest tenth.

Mathematics
1 answer:
pav-90 [236]3 years ago
4 0

The Reuleaux triangle is shown in the attached figure

we know that

the area of a Reuleaux triangle is equal to

A=\frac{1}{2} *(\pi -\sqrt{3} )*r^{2}

where

r=18.6/2--------> r=9.3 m

so

A=\frac{1}{2} *(\pi -\sqrt{3} )*9.3^{2}

A=60.96

therefore

the answer is

61 m²

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