Question

If the radius of a circle is doubled, then the circumference of the circle is multiplied by:

Answer 1

The number by which the circumference is multiplied is: 2

We know that the circumference of the circle in terms of the radius r is given by:

Circumference = 2$\pi$r

Now, if the radius is doubled.

i.e.

$r^{'}$ = 2r

Hence, the circumference of the new circle is given by:

Circumference of the new circle = 2$\pi$(2r)

Circumference of the new circle = 2(2$\pi$r)

i.e.

Circumference of the new circle = 2 × Circumference of the original circle

The constant by which the circumference is multiplied is: 2

Find out more information about circumference of the circle  here

https://brainly.com/question/13057416

#SPJ4