The calculated radius of the circle is x + 5
How to determine the radius of the circle
From the question, we have the following parameters that can be used in our computation:
Area = (πx² + 10πx + 25π)
The area of a circle is calculated as
Area = πr²
Substitute the known values into the equation
πr² = (πx² + 10πx + 25π)
Divide through by π
r² = (x² + 10x + 25)
So, we have
r² = (x + 5)²
Evaluate
r = x + 5
Hence, the radius of the circle is x + 5
Question
The area of a circle is given by the expression - (πx²+10πx+25π).
Find the radius of the circle .