Respuesta :
Answer:
A ≈ 1192.7727 [tex]\pi[/tex]
Step-by-step explanation:
To find:
- Find area A of a circle if circumference C = 217.
⇒ A = ?
⇒ C = 217
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STEP 1: find radius [tex]r[/tex]
To find radius [tex]r[/tex] use formula:
[tex]C=2*r*\pi[/tex]
After substituting [tex]C=217[/tex] we have:
[tex]217=2*r*\pi \\r=\frac{217}{2\pi }[/tex]
[tex]r[/tex] ≈ [tex]34.5365[/tex]
STEP 2: find area [tex]A[/tex]
To find area [tex]A[/tex] use formula:
[tex]A=r^{2} *\pi[/tex]
After substituting [tex]r=34.5365[/tex] we have:
[tex]A=34.5365^{2} *\pi \\A=1192.7727\pi[/tex]
Answer:
Step-by-step explanation:
You need to find r before you can find the area. You have the circumference so that will give you r.
When you have r, the Area formula is A = pi r^2
Find r from the circumference
C = 2 * pi * r Divide by 2 * pi
C/ * 2pi = 2*pi * r / 2pi Combine
C/2* pi = r
C = 217
C/2* pi = r
108.5 / pi = r
Find the Area
r = 108.5 / pi
Area = pi * r^2
Area = pi * 108.5^2 / pi^2
Area = 11772.25/ pi