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]