A circle has a circumference of 32.4 mm. Find the radius and the diameter. Round your answers to two decimal places.

Respuesta :

Answer:

r=5.15

d=10.31

Step-by-step explanation:

Given:

circumference of circle=32.4 mm

radius=?

diameter=?

formula of circumference of circle is given as:

C=2πr

Putting value we get

32.4=2πr

r=32.4/2π

r=5.15

d=2r

d=2(5.15)

d=10.31 !

For this case we have that by definition, the circumference of a circle is given by:

[tex]C = \pi * d[/tex]

Where:

d: It is the diameter of the circle

We have as data that:

[tex]C = 32.4 \ mm[/tex]

Taking[tex]\pi = 3.14[/tex]

We have:

[tex]32.4 = 3.14 * d\\d = \frac {32.4} {3.14}\\d = 10.32 \ mm[/tex]

The radius is given by:

[tex]\frac {10.32} {2} = 5.16 \ mm[/tex]

Answer:

[tex]Diameter: 10.32 \ mm\\Radius: 5.16 \ mm[/tex]

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