Question

A circle with a radius of one unit is inscribed in an equilateral triangle with an area of 4√3 square units. Determine the exact area of the shaded region. 4√3 - 2 square units 4√3 + 2 square units 4√3 - square units 4√3 + square units

Answer 1

4√3 - 2 square units

Explanation:

Answer 2

The area of the shaded region is 4√3 - π square units

Explanation:

The shaded region is the complement of the circle in the triangle. We can obtain this area by substracting the area of the circle from the area of the triangle.

The area of the triangle is 4√3 square units. The area of a circle is πr² square units. Since r=1 in this case, then we have that the area is π square units. Therefore, the correct answer is 4√3 - π square units.