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The area of a circle is the radius squared x pi.
Area = r^2 x pi
R is the radius which is half the diameter.
Diameter = 102 inches
Radius = 102/2 = 51 inches
Area = 51^2 x pi
Area = 2,601pi inches^2 ( in terms of pi) or
Area = 8,167.14 inches^2
Area of circle is 8,167.14 cm ²
We have
diameter of circle = 102 cm
And we need to find area of circle,
So the formula we using is
Area of circle = π ×r ²
Here,
R denotes for Radius
π denotes for pi.
For finding area of circle we need to find radius
here we have diameter of circle = 102 cm and
We know that ,diameter is the double of radius it means radius is the half of diameter
So, radius of circle = 102/2 = 51 cm
Now Solve it
Area of circle = π × ( r ) ²
Substitute the value
Area of circle = 3.14 × ( 51cm )² .. [ using π = 3.14 ]
Multiply the values
Area of circle = 3.14 × ( 51 cm × 51cm) ..[( 51 ) ²= 51 × 51]
Area of circle = 3.14 × 2,601 cm².
Therefore , Area of circle is 8,167.14 cm ²