Question 141

The ratio of circumference and diameter of a circle is 22:7. If the circumference be $$1\frac{4}{7}$$m, then the radius of the circle is:

Solution

Let radius of circle = $$r$$ cm

According to ques, ratio of circumference and diameter :

=> $$\frac{2\pi r}{2r}=\frac{22}{7}$$

=> $$\pi=\frac{22}{7}$$ [It is a void statement]

Also, circumference $$2\pi r=1\frac{4}{7}$$

=> $$2\times\frac{22}{7}\times r=\frac{11}{7}$$

=> $$44r=11$$

=> $$r=\frac{11}{44}=\frac{1}{4}$$ m

=> Ans - (B)

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