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A circular light fixture has a radius of 20 centimeters.what is the circumference of the light fixture

Sagot :

Sarah06109

Answer:

[tex]\boxed {\boxed {\sf 40 \pi \ cm, 125.6 \ cm, or \ 125.6637061 \ cm}}[/tex]

Step-by-step explanation:

Circumference can be found by multiplying the diameter of the circle by pi.

[tex]c= \pi d[/tex]

We are given the radius, which is 20 centimeters. We need the diameter, which is twice the radius.

[tex]d= 2r[/tex]

[tex]d= 2(20 \ cm)[/tex]

[tex]d= 40 \ cm[/tex]

Substitute the diameter into the formula. There are many ways to calculate circumference, so I included a few options.

1. In Terms of Pi

If we solve in terms of pi, we leave π in the answer.

[tex]c=\pi ( 40 \ cm)[/tex]

[tex]c= 40 \pi \ cm[/tex]

2. Using 3.14 as Pi

[tex]c=\pi ( 40 \ cm)[/tex]

Substitute 3.14 in for pi.

[tex]c= (3.14)(40 \ cm)[/tex]

[tex]c=125.6 \ cm[/tex]

3. Using 3.14159 as PI

[tex]c=\pi ( 40 \ cm)[/tex]

Use the pi button on a calculator.

[tex]c= 125.6637061 \ cm[/tex]

The circumference of the light fixture is 40π, 125.6 cm, or 125.6637061 cm

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