Question 128
The difference between circumference and the radius of a circle is 111 cm. What is the area (in $$cm^{2}$$) of the circle?
Solution
Let radius of circle = $$r$$ cm
=> $$2\pi r-r=111$$
=> $$r(2\times\frac{22}{7}-1)=111$$
=> $$r\times\frac{44-7}{7}=111$$
=> $$r=111\times\frac{7}{37}=21$$ cm
$$\therefore$$ Area of circle = $$\pi r^2$$
= $$\frac{22}{7}\times(21)^2=1386$$ $$cm^2$$
=> Ans - (B)
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