In this item, we are given with the radius equal to 22 cm.
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)
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.
