Respuesta :
Answer:
r = 40.5
A = 1640.25 pi
Step-by-step explanation:
The circumference is given by
C = pi *d
81 pi = pi *d
Divide each side by pi
81 = d
We can find the radius
d = 2r
81 = 2r
Divide each side by 2
81/2 = r
40.5
Now we can find the area
A = pi r^2
A = pi ( 40.5)^2
A =1640.25 pi
Answer:
Solution :-
[tex]\sf Circumference = 2\pi r[/tex]
[tex] \sf \: 81 \pi = 2\pi r[/tex]
[tex] \sf \: 81 = 2r[/tex]
[tex] \sf \dfrac{81}{2} = r[/tex]
[tex] \sf \: 40.5 = r[/tex]
Area = πr²
[tex] \sf \: Area = 3.14 \times 40.5 \times 40.5[/tex]
[tex] \sf \: Area = 5150.38[/tex]
[tex] \sf \: Area = 5150.38 \: units {}^{2} [/tex]