Answer:
16π cm²
Step-by-step explanation:
circumference = 2πr
Area = πr²
We need to determine r to calculate the area
2πr = 8π
Divide both sides of the equation by 2π to find r
r = 4
Now, we determine area.
area = πr² = π4² = 16πcm²
Answer:
Step-by-step explanation:
The formula for the circumference of a circle can be used to solve this problem.
[tex]\underline{\text{CIRCLE OF A CIRCUMFERENCE FORMULA:}}[/tex]
[tex]:\Longrightarrow: \sf{C=2\pi r}[/tex]
[tex]\text{AREA:}= \sf{\pi r^2}[/tex]
[tex]\sf{2\pi r=8 \pi}[/tex]
You have to divide by 2 from both sides.
[tex]\sf{\dfrac{2\pi r }{2}=\dfrac{8\pi}{2} }[/tex]
Solve.
Divde the numbers from left to right.
8/2=4
r=4
[tex]\sf{\pi r^2=\pi4^2}[/tex]
Solve by exponents.
[tex]\sf{4^2=4*4=\boxed{\sf{16}}[/tex]
[tex]\Longrightarrow: \boxed{\sf{16\pi \text{cm}^2}}[/tex]
I hope this helps. Let me know if you have any questions.
