Q1 of 37 Page 13

The circumference of a circle exceeds its diameter by 16.8 cm. Find the circumference of the circle.

We know that, circumference of a circle, C = 2πr


and diameter, D = 2r


According to the question,


C = D + 16.8


⇒ 2πr = 2r + 16.8


⇒ 2πr – 2r = 16.8


⇒ 2r(π – 1)= 16.8




⇒ 15r = 8.4 × 7


⇒ r = 3.92 cm


∴ Circumference of circle = 2πr



=24.64cm


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