Find the ratio of the area of the bigger circle and smaller circle.

I. The radius of the smaller circle is 24 cm.
II. The difference between the radii of bigger and the smaller circles is 3 cm.

Options

A. if the data in statement I alone are sufficient to answer the questin, while the data in statement II alone are not sufficient to answer the question.
B. if the data in statement II alon are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
C. if the data either in statement I alone or in statement II alone in sufficient to answer the question.
D. if the data in both the statements I and II together are necessary to answer the question.

Explanation

From both the statements,
`r_(1)=24 cm`
`r_(2)-r_(1)=3` cm
`impliesr_(2)-r_(1)+3=24+3=27` cm
`therefore "Required ratio"=(pir_(2)^(2))/(pir_(1)^(2))=(r_(2)^(2))/(r_(1)^(2))=(27^(2))/(24^(2))=81/64`
So data in both the statements together are necessary to answer the question