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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