the circumference of a circle is 3140cm find the radius and the area of circle
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Given data : The circumference of a circle is 3140 cm.
To find : The radius and the area of circle ?
Solution :
Now we use formula of circumference of circle.
⟹ circumference of circle = 2 * π * r
{ according to given }
⟹ 3140 = 2 * 22/7 * r
⟹ 3140 * 7/22 = 2 * r
⟹ 21980/22 = 2 * r
⟹ 10990/11 = 2 * r i.e.
⟹ r = 10990/11 * 1/2
⟹ r = 10990/22
⟹ r = 5494/11
⟹ r = 499.545454 cm
Now, by formula of area of circle
area of circle
⟹ area of circle = π * r²
⟹ area of circle = 22/7 * (499.545454)²
⟹ area of circle = 22/7 * 249545.6612
⟹ area of circle = 5490004.545/7
⟹ area of circle = 784286.3636 cm²
Answer : Hence, the radius of circle is 499.545454 cm and the area of circle is 784286.3636 cm².
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