The circumference of a circle exceeds its diameter by 180 cm. Then the circumference is

180

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300

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175

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264

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Solution

The correct option is A $264$ cm
$G i v e n - T h e c i r c u m f e r e n c e o f a c i r c l e e x c e e d s i t s d i a m e t e r b y 180 c m . T o f i n d o u t - T h e c i r c u m f e r e n c e o f t h e c i r c l e = C = ? S o l u t i o n - L e t r = r a d i u s o f t h e c i r c l e . ∴ I t s d i a m e t e r = D = 2 r a n d i t s c i r c u m f e r e n c e = C = 2 π r . B y t h e g i v e n c o n d i t i o n, (C - D) c m = 180 c m ⟹ 2 π r - 2 r = 180 ⟹ 2 r (π - 1) = 180 ⟹ 2 r (\frac{22}{7} - 1) = 180 ⟹ r = \frac{180 \times 7}{15 \times 2} c m = 42 c m . ∴ T h e c i r c u m f e r e n c e = C = 2 π r = 2 \times \frac{22}{7} \times 42 c m = 264 c m . A n s - O p t i o n D .$

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