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The sum of the circumference and diameter of a circle is 29 cm. The diameter of the circle is

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The sum of the circumference and diameter of a circle is 29 cm. The diameter of the circle is

(A) 3.5 cm

(B) 7 cm

(C) 14 cm

(D) 21 cm

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1 Answer

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Correct option is (B) 7 cm

\(2\pi r + 2r = 29\)

⇒ \(2r (\pi + 1) = 29\)

⇒ \(2r = \frac{29}{\pi + 1} \)

\(= \frac{29}{\frac{22}7 + 1} \)

\(= \frac{29}{\frac{29}7} \)

\(= 7cm\)

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