Given that the circumference of a circle is440cm. Find the area of the circle
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Question
Given that the circumference of a circle is440cm. Find the area of the circle ?
Solution
Given That:-
- Circumference of circle = 440 cm
Find:-
- Area of Circle
Explanation
Using Formula
★ Circumference of circle = 2πr
★ Area of Circle = πr²
Where,
- r = Radius of circle
- π = 22/7 = 3.14
So,
==> Circumference of circle = 2πr
==> 440 = 2πr
==> 440 = 2 × 22/7 × r
==> r = 440 × 7 /(22×2)
==> r = 10 × 7
==> r = 70 cm
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Now, Find Area of Circle
==> Area of circle = πr²
Keep Value of r
==> Area of Circle = 22/7 × (70)²
==> Area of Circle = 22/7 × 70 × 70
==> Area of Circle =22 × 10 × 70
==> Area of Circle =22 × 700
==> Area of Circle = 15,400 cm²
Hence
- Area of circle = 15,400 cm²
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