Respuesta :

ktreyb
Circumference = 2 * pi * radius. So we just plug in our given information and solve for the missing variable. 

59.69 = 2[tex] \pi [/tex]r

Divide both sides by [tex]2 \pi [/tex] to isolate the variable r. 

r = 59.69 / [tex]2 \pi [/tex]

Put that into the calculator

r ≈ 93.7608 mm

The radius of the penny is 9.54 millimeters.

What is circumference?

The circumference means the length of the literal line that surrounds and forms a circle.

What is the formula for the circumference of circle?

The formula for the circumference of the circle is given by

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

Where,

r is the radius

and π = 3.14

What is radius?

A radius is a straight line from the center of a circle to the circumference of a circle.

According to the given question.

We have a penny whose circumference is 59.69 millimeters.

Let r be the radius of the penny and 2πr be the circumference of the penny.

Since we know that, the shape of the penny is circular.

Therefore,

The radius, r of the penny is given by

[tex]2\pi r= 59.69[/tex]

[tex]\implies r = \frac{59.69}{2\pi }[/tex]

[tex]\implies r = \frac{59.69}{2(3.14)}[/tex]

[tex]\implies r = \frac{59.69}{6.28}[/tex]

[tex]\implies r = 9.54\ millimeters[/tex]

Hence, the radius of the penny is 9.54 millimeters.

Find out more information about radius and circumference of the circle here:

https://brainly.com/question/9319418

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