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Question
The circumference of a circle is numerically equal to its area. Find the area and circumference of the circle.
Solution
Let the radius of a circle = r cm
⇒ Circumference of a circle = 2πr cm
Area of a circle = πr2
Now,
Circumference of a circle
= Area of a circle
⇒ 2πr = πr2
⇒ 2 = r
Thus, we have
Area of a circle
= πr2
= 3.14 x 2 x 2
= 12.56cm2
Circumference of a circle
= Area of a circle
= 12.56cm2.
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