Question

The area of a circle is given by the expression-
A
(Tex? + 10TX' + 251)
Find the radius of the circle.​

Answer 1

Answer:

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Answer 2

Answer:

Area = πr²

Find r:

Given that area =  πx²+10πx+25π

πr² = πx²+10πx+25π

Take out common factor π:

πr² = π(x²+10x+25)

Divide by π on both sides:

r² = x²+10x+25

Factorise the right hand side:

r² = (x + 5)²

Square root both sides:

r = x + 5

Answer: r = x + 5