Question

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

A. 198.4 m2
B. 205.6 m2
C. 243.8 m2
D. 251.7 m2

Answer 1

The Reuleaux triangle is shown in the attached figure

we know that

the area of a Reuleaux triangle is equal to

`A=(1)/(2) *(\pi -√(3) )*r^(2)`

where

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

so

`A=(1)/(2) *(\pi -√(3) )*9.3^(2)`

`A=60.96`

therefore

the answer is

61 m²