Discussion :: Area
- The perimeter of a circle and an equilateral triangle are equal. Find the area of the equilateral triangle if the area of the circle is 141π.
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Answer : Option A
Explanation :
The perimeter of a circle and an equilateral triangle are equal:
Let the length of each side of equilateral triangle = A
As per the questions, the perimeters are equal.
So, 2 π r = 3 A
Area of circle is given = 141 π
So, π r2 = 144 π
r = 12
Thus, 2 π * 12 = 3 A
A = 24 π /3
The area of a equilateral triangle = (√3/4) * side2
= (√3/4) * (24 π /3) 2
= (√3/4) * 8 π * 8 π
= 0.43 * 25.12 * 25.12
= 271.34 sq. cm.
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