Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 3-inch radius a = sq. in.

Area = 11.66 square inches .

Step-by-step explanation:

Given  : An equilateral triangle (regular 3-gon) with the given measurement.  

3-inch radius.

To find : Find the area .

Solution : We have given that

Radius = 3 inches.

By the formula : .

Plug the value of radius = 3 inches .

.

On multiplying both sides by 3.

.

On Dividing both sides by root 3 both sides .

.

Side = 5. 19.

Area of equilateral triangle :  .

Plug side = 5.19

Area of equilateral triangle :  .

Area = 11.66 square inches .

Therefore, Area = 11.66 square inches .

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