Question

2. the area of a circle is given by the expression-
(Tex? + 10 tex + 251)
Find the radius of the circle.​

Answer 1

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

Answer 2

$\huge\underbrace\mathfrak \red{ANSWER }$

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

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