The circumference of a circle exceeds the diameter by 16.8 cm. Find the circumference of the circle.
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Answer:
The Circumference of the circle is 24.64 cm.
Step-by-step explanation:
SOLUTION :
Given :
Circumference of a circle exceeds the diameter by 16.8 .
Let diameter be ‘d’ cm.
A.T.Q
Circumference = d + 16.8
Circumference of a circle = 2πr
2πr = d + 16.8
Diameter of a circle ,d = 2r
2r π = d + 16.8
d (π) = d + 16.8
d × 22/7 = d + 16.8
22d/7 = d + 16.8
22d/7 - d = 16.8
(22d - 7d)/7 = 16.8
15d/7 = 16.8
15d = 16.8 × 7
15d = 117.6
d = 117.6/15
d = 7.84 cm
Circumference = d + 16.8
Circumference = 7.84 + 16.8
Circumference = 24.64 cm
Hence, the Circumference of the circle is 24.64 cm.
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