Answer:
C. The circumference of circle 1 is less than the circumference of circle 2.
Step-by-step explanation:
6<7
We know that the formula for the area of a circle is πr². This means the greater the radius, the greater the area.
We also know that the formula for circumference is 2Ï€r. It is also dependent on radius. The greater the radius, the greater the circumference.
Given that Circle 2 has a greater area, this means that it has a greater radius which in turn means that it has a greater circumference.
C. The circumference of circle 1 is less than the circumference of circle 2.
Answer:
The circumference of circle 1 is less than the circumference of circle 2.
Step-by-step explanation:
Hi there!
When we compare two circles, if one is bigger than the other, it must have a greater circumference. We can see this visually.
If we want to prove this, we can take a look at the area and circumference formulas (r = radius):
[tex]A=\pi r^2[/tex]
[tex]C=2\pi r[/tex]
If we were to substitute the area formula into the formula for circumference, we would get the following:
[tex]\displaystyle\frac{A}{\pi}=r^2\\\\\sqrt{\displaystyle\frac{A}{\pi}}=r[/tex]
[tex]C=2\pi (\sqrt{\displaystyle\frac{A}{\pi}})[/tex]
Therefore, the greater the area of a circle, the greater its circumference.
I hope this helps!
