What is the area of the circumscribed circle of an equilateral triangle of side a = 5 inches?

Anonymous
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Step 1; Find the relationship between the (a)side of the equilateral and (r)radius of the circumscribed circle.
NOTE: Radius of the circumscribed circle R = a * \frac{\sqrt{3}}{3}
Step 2: Find the radius of the circumscribed circle
R = 5 * \frac{\sqrt{3}}{3}
Step 3: Recall the area of the circle formula and substitute the radius value in the formula.
NOTE: Area of the circle \pi r^2
= \pi (5 * \frac{\sqrt{3}}{3})^2
= 3.14 * 25 * \frac{3}{9}
= 3.14 \frac{25}{3}