deziinicole223 deziinicole223
  • 22-12-2020
  • Mathematics
contestada

If you double the radius of a circle, then you will quadruple the circumference of the circle

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 27-12-2020

Answer:

False

Step-by-step explanation:

No options is attached to the question. However, I'll assume it's a true or false question.

Represent the radius with r.

The circumference is calculated as:

X = 2πr

When the radius is doubled, the new radius R is

R = 2r

And the new circumference, C is:

C = 2πR

Substitute 2r for R

C = 2π * 2r

C = 4πr

Factorize the above equation.

C = 2 * 2πr

Recall X = 2πr;

The expression becomes:

C = 2 * X

C = 2X

This means that the circumference is doubled, not quadrupled.

Hence, the statement is false.

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