Find the area of an equilateral triangle with radius 22 cm. Round to the nearest whole number.

Answer:this item, we are given with the radius equal to 22 cm.

In this measurement of the radius is the hypotenuse of the 30°-60°-90° triangle formed with the half the measurement of the side of the equilateral triangle being opposite to the 60° and equal to the hypotenuse times (1/2) (√3)

Step-by-step explanation:

If we let s be the side of the triangle then,

s/2 = r (1/2) (√3)

Multiplying the equation by 2,

s = r√3

Substituting,

s = (22 cm) (√3) = 22√3

The area of the equilateral triangle is computed through the equation,

A = (√3 / 4) (s²)

Substituting,

A = (√3 / 4) (22√3) ² = 628.7 cm²

Therefore, the answer to this item is the first choice.