Question

please answer
best answer will mark as brianluest​

Answer 1

Step-by-step explanation:

Given that area of the circle is

A=\pi x^2+10 \pi x + 25 \piA=πx

2

+10πx+25π ...(i)

Question is talking about area of circle so that gives us hint that we need to use formula of the area of circle. which is

A=\pi r^2A=πr

2

...(ii)

where r is called radius.

Equation (i) and (ii) both represents same area of circle so their values must be equal.

we get equation:

\pi r^2=\pi x^2+10 \pi x + 25 \piπr

2

=πx

2

+10πx+25π

factor out pi from the right side

\pi r^2=\pi (x^2+10x + 25)πr

2

=π(x

2

+10x+25)

divide both side by pi

r^2=x^2+10x + 25r

2

=x

2

+10x+25

factor the right side more

r^2=x^2+5x+5x + 25r

2

=x

2

+5x+5x+25

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

2

=x(x+5)+5(x+5)

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

2

=(x+5)(x+5)

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

2

=(x+5)

2

take square root of both sides

r=x+5r=x+5

Hence radius of the circle is r=x+5r=x+5