ananyagadepalli ananyagadepalli
  • 02-08-2021
  • Mathematics
contestada

What is the perimeter of a square which has the same area as a circle with circumfrence of 4π

Respuesta :

jcherry99
jcherry99 jcherry99
  • 02-08-2021

Answer:

Perimeter square = 8 sqrt(pi)

Step-by-step explanation:

The perimeter of a square is 4*s

The area of a circle is Area = pi * r^2

The circumference of a circle is C = 2*pi * r

C = 4 pi

4pi = 2*pi * r

r = 2

So the area of the circle is pi * r^2 = pi * 2^2 = 4pi

The square has the same area

Area = 4*pi

Square = 4*pi

s^2 = 4*pi

s = sqrt(4*pi)

s = 2*sqrt(pi)

The perimeter = 4 * 2 * sqrt(pi)

The perimeter = 8 * sqrt(pi)

Answer Link

Otras preguntas

Why does Louis XIV want to expand France's border?
3x+y=4 2x+y=5 solve using linear combination
A tree was chopped down and cut up in a local forest.The tree changed in shape.What kind of change took place?A.chemical changeB.physical change C.phase changeD
What is the slope of any line parallel to the line 8x + 9y = 3 in the standard (x,y) coordinate plane?
which explorer sailed for france?
how do day and nightat uranus's equator change asthe uranus revolves around the sun?
What is 1997 from 2014????????????
How many grandparents have my grandparents? who can solve it is very good on maths! it is just a lpgic problem! i know the answer :)
what is the kingdom and phylum of a euglena protest?
Can someone please help me ?