the circumference of a circle exceeds is diameter by 180cm calculate it's the area
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Step-by-step explanation:
Given−
Thecircumferenceofacircleexceedsitsdiameterby180cm.
Tofindout−
Thecircumferenceofthecircle=C=?
Solution−
Letr=radiusofthecircle.
∴Itsdiameter=D=2rand
itscircumference=C=2πr.
Bythegivencondition,
(C−D)cm=180cm
⟹2πr−2r=180
⟹2r(π−1)=180
⟹2r(
7
22
−1)=180
⟹r=
15×2
180×7
cm=42cm.
∴Thecircumference=C=2πr=2×
7
22
×42cm=264cm.
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