The perimeter of an equilateral triangle is equal to the circumference of a circle. If each side of this equilateral triangle is 88 cm long, then what will be the length of the diameter of the circle mentioned above? [Use π = $\frac{22}{7}$]
Answer & explanation
Correct answer: option 3
We know that,
Circumference of circle = 2πr where, r = Radius
The perimeter of an equilateral triangle = 3s where s = side.
Side = 88 ( Given)
The perimeter of an equilateral triangle = 3a = 3 × 88
According to the question
Circumference of circle = 2πr
= 3 × 88 = 2 × \(\frac{22}{7}\)× r
= r = 42
= diameter = 2r = 2 × 42 = 84cm