If a circle has a circumference of 64 ft, what is the area?

Question

If a circle has a circumference of 64 ft, what is the area?

Answer 1

Hey Jonathan,

 

circumference of circle = pi * diameter

 

64 ft   =   pi * diameter

 

64 ft   =   pi * (2 * radius)

 

64 ft   =   2πr

 

32      =   πr

 

32/π ft =  r

 

area of circle = πr²

 

area = π (32/π ft)²

 

area = π (1024/π²)

 

area = (1024/π) sq ft

 

Do you want with π or in terms of decimal? if you want in decimal, plug the π in and calculate.

 

Good luck.

 

 

 

 

Answer 2

Circumference of circle = 2.pi.r

 

 64 = 2.pi.r

 32=pi r

pi= 3.14

 

32 = 3.14 * r

 

10.19=r

 

radius = 10.19 ft

 

Area= pi.r²

       =3.14*(10.19)²

       =3.14*103.84=326.06 square feet