Question 89
The circumference of a circle is equal to the perimeter of an equilateral triangle. If the radius of the circle is 7 cm what is the length of the side of the equilateral triangle?
Solution
Let side of equilateral triangle = $$a$$ cm and radius, $$r = 7$$ cm
Circumference of circle = $$2\pi r$$
= $$2 \times \frac{22}{7} \times 7 = 44$$ cm
According to ques, circumference of circle = Perimeter of triangle
=> Perimeter of equilateral triangle = $$3a = 44$$
=> $$a = \frac{44}{3}$$ cm
=> Ans - (B)
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