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

2
Log in to add a comment

Log in to add a comment

C + D = 16.8

2 * pi * r + 2r = 16.8 (pi = 3.14 or 22/7)

2r( 3.14 + 1) = 16.8

2r * 4.14 = 16.8

2r = 16.8/4.14

2r = 4.05 (app.)

r = 4.05/2

r = 2.025

therefore C = 2 * pi* r

= 2 * 3.14 * 2.025

= 12.717 cm

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

C = D + 16.8

C = 2πr

D= 2r

∴ 2πr = 2r +16.8

⇒2r(π -1) = 16.8

⇒2r(15/7) =16.8

⇒r = (16.8 ×7)/30

⇒r = 1.12

∴**circumference, 2πr = 2×(22/7)×1.12 = 7.04 cm**

C = 2πr

D= 2r

∴ 2πr = 2r +16.8

⇒2r(π -1) = 16.8

⇒2r(15/7) =16.8

⇒r = (16.8 ×7)/30

⇒r = 1.12

∴