what is the area of a circle with a 1000m perimeter?

Answer 1

Circumference = 2 * pi * r
Therefore r = 1000 / 2 * pi
= 159.15

Area = pi * r^2
Therefore A = 79572.5 m^2

Answer 2

circumference (perimeter) of a circle = pi * diameter

So, fill in information we have:

1000 = pi * diameter

Re-arrange this formula so we have diameter on its own and we can find that value

1000 / pi = diameter

So diameter = 318.30988618379067153776753 m

Leave showing on calculator so it doesn't have to be entered again.

To find area, we need the radius.

Radius = diameter / 2

So divide answer on calculator by 2.

Radius = 159.15494309189533576888376 m


To get area, you have to:

Area = pi * radius^2

(Area = pi multiplied by the radius squared)

So Area =
pi * 159.15494309189533576888376^2
pi * 25330.295910584442860969865
79577.471545947667884441881 m^2

Round off to as many decimal places as required

e.g. 5 d.p. = 79577.47155m^2

Answer 3

Area=π⋅radius⁲ = π⋅r⁲
perimeter = π⋅diameter = π⋅d
d= 2r or r=d/2
p = 1000m = π⋅d
d = 1000m/π = 318.3m
d/2 = 159.15m
so
A= π⋅r⁲ = π⋅(d/2)⁲
r=d/2 was calculated above as =159.15m so
A= π⋅[159.15m]⁲ = π⋅(25330.3m)⁲ = 79577.5m⁲


note you were given the perimeter in a unit of length and asked to find area which is a (unit of length)⁲ and the answer is consistent with units of area.

Answer 4

Perimeter (C) = pi*D where D = Diameter, so D = C/pi
Area = A = pi D^2/4 = pi C^2/(4* pi ^2 = C^2/(4pi)
A = (1000)^2/4pi = 79,577.488 m^2
Just another way to do it.

Answer 5

Perimeter = 2 x pi x r where r = radius
1000 = 2 x pi x r
r = 500/pi

Area = pi x r^2
A = pi x (500/pi)^2
A = 79,577 m2

Answer 6

perimeter = 2 * pi *r =1000 m
r =1000/2pi
r=500/pi
Area = pi * r^2
= pi *(500/pi)^2
=250000/pi= 79577.47 sq. m.

Answer 7

1000= 2*pie*r

r=158.22

A= pie*r^2=79110m^2

Area = 79110 m^2

Answer 8

pie is spelt pi, i would rather the other way though (shits and giggles)

Answer 9

dont know