jessicaailon jessicaailon
  • 18-11-2020
  • Mathematics
contestada

A circle has a circumference of 1{,}017.361,017.361, comma, 017, point, 36 units. What is the radius of the circle?

Respuesta :

elcharly64
elcharly64 elcharly64
  • 19-11-2020

Answer:

[tex]r\approx 162~units[/tex]

Step-by-step explanation:

The Circumference of a Circle

The circumference is the arc length of the circle.

A circle with radius r has a circumference calculated by:

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

If we are given the circumference, the radius can be calculated by solving the equation for r:

[tex]\displaystyle r=\frac{C}{2\pi}[/tex]

The circumference of the circle is 1,017.36 units. Calculating the radius:

[tex]\displaystyle r=\frac{1,017.36}{2\pi}[/tex]

[tex]\mathbf{r\approx 162~units}[/tex]

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