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Find the diameter of the circle if the area = 201.1 in^2.

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Tushar Chandra eNotes educator | Certified Educator

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We know the area of the circle is given by pi*r^2. And the diameter is 2*r.

Now the area of the circle is 201.1 in^2.

Therefore 201.1 = pi*r^2

=> r^2 = 201.1 / pi

=> r^2 = 64.0 (approximately)

=> r = sqrt 64

=> r = 8

Diameter = 2*r = 2*8 = 16

Therefore the required...

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hala718 eNotes educator | Certified Educator

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neela | Student

Let the diameter of the circle be 2r and radius r.

Then the area of the circle = pir^2 .

The actual area of the circle = 201.1 in^2.

Therefore pir^2 = 201.1.

Therefore r^2 = 201.1/pi/

=> r = sqrt(201.1/pi).

So the diameter of the circle = 2r = 2sqrt(201.1/pi) = 16.00 inch nearly.