laniemariemeng laniemariemeng
  • 30-03-2020
  • Mathematics
contestada

if a circle has an area and a circumference that are exactly the same then what does the radius of the circle have to be?

Respuesta :

brian7672
brian7672 brian7672
  • 30-03-2020

Answer:

2

Step-by-step explanation:

1. Identify the equations

Area of the circle

[tex]A = \pi r^2[/tex]

Circumference of the circle

[tex]C=2\pi r[/tex]

2. Set up an equation.

[tex]\pi r^2 = 2\pi r[/tex]

3. Solve for r.

[tex]\pi r^2 = 2\pi r[/tex]

[tex]r^2 = 2r[/tex]

[tex]r=2[/tex]

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