Question

the area of a circle is given by the expression-(piex^2+10piex+25pie

Answer 1

If you want me to find the radius, here is the solution………

Area of circle=pi*r^2

pi*r^2=pi(x)^2+10pi(x)+25pi

pi*r^2=pi{(x^2)+10x+25}

pi*r^2=pi{(x^2)+(2*x*5)+(5^2)}

pi*r^2=pi(x+5)^2

r^2=(x+5)^2

r=x+5

Answer 2

Answer:

The radius of circle is x+5

Step-by-step explanation:

The area of circle is given by the expression

$A(x)=\pi x^2+10\pi x+25\pi$

Formula:

$\text{Area of circle }=\pi r^2$

where, r is radius of circle.

Therefore,

$\pi r^2=\pi x^2+10\pi x+25\pi$

$\pi r^2=\pi (x^2+10x+25)$

$r^2= (x^2+10x+25)$

$r^2=(x+5)^2$                            $\because\ a^2+2ab+b^2=(a+b)^2$

Taking square root both sides to get r

$r=x+5$

Hence, The radius of circle is x+5