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

What did Dr. Martin Luther King Jr. mean when he said "We Cannot Turn Back"?
The CSA had stronger trade relations with Europe, especially with
Explain what the Role of Public Relations is.
what element is found in fish
Which word does NOT refer to a liquid ? a. allude b. deluge c. imbibe d. potable
PLEASE HELP FAST! :) What are GPS and GIS? How are they useful?
Gordy is a goalie for a neighborhood soccer team.He played in 65% of the 20 games this season.In how man ygames did he not play? Explain A.6 B.7 C.10 D.13
A rectangular patio has a length of 12 1/2 feet and an area of 103 1/8 square feet. What is the width of the patio?
The ____ of the octopus is at its center, where its arms meet. a. orifice b. indenture c. cerebration d. effrontery
What is an angle that measures 1/2 turn