Math, asked by prasantadutta1392, 10 months ago

Given that the circumference of a circle is440cm. Find the area of the circle

Answers

Answered by Anonymous
4

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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