Question

PLEASE HELP WILL GIVE 1ST RIGHT ANSWER AS BRAINIEST The radius of a circle is x+6 and its diameter is 3x+5. What is the circumference of the circle, in terms of pi? (Do not include the variable x in your answer.)

Answer 1

Answer:

The circumference of the circle = 26π unit.

Step-by-step explanation:

Given:

Radius of the circle, r = "x+6"

Diameter of the circle, d = "3(x)+5"

We have to find the circumference of the circle in terms of pi.

Formula to be used:

Circumference of a circle = 2πr or πd

As we know that:

Radius = Half of diameter

So,

⇒ $radius=\frac{diameter}{2}$

⇒ $x+6=\frac{3x+5}{2}$

⇒ $2\times (x+6)=\frac{3x+5}{2}\times 2$

⇒ $2x+12=3x+5$

⇒ $12-5=3x-2x$  ...Arranging variables and constants.

⇒ $7=x$

Plugging x = 7 we will find the radius and the diameter.

⇒ Radius = "x+6" = "7+6" = 13

⇒ Diameter = "3(x)+5" = 3(7)+5 =26

Lets find the circumference of the circle.

⇒ Circumference = $2\pi r= 2\pi (13) = 26 \pi$        Or

⇒ Circumference = $\pi d=\pi (26)=26\pi$

The circumference of the circle = 26π unit.