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