Question 31

The circumference of circle A is 75 m more than its diameter. If the radius of circle B is 3.5 m more than the radius of circle A, what is the circumference of circle B ?(in m)

Solution

Let radius of circle A = $$r$$ m

Now, circumference of circle - diameter of circle = 75

Acc. to ques,

=> $$(2 \pi r) - (2r) = 75$$

=> $$2r (\frac{22}{7} - 1) = 75$$

=> $$2r \times \frac{15}{7} = 75$$

=> $$r = \frac{75 \times 7}{15 \times 2}$$

=> $$r = \frac{35}{2} = 17.5$$ m

=> Radius of circle B = $$17.5 + 3.5 = 21$$ m

$$\therefore$$ Circumference of circle B

= $$2 \times \pi r = 2 \times \frac{22}{7} \times 21$$

= $$44 \times 3 = 132$$ m

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