Answered

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The diameter of a circle is 16 kilometers. What is the circumference?

Give the exact answer in simplest form.
[tex]\[ \text{Circumference} = \square \text{ kilometers} \][/tex]

Sagot :

GinnyAnswer
To find the circumference of a circle given its diameter, we use the formula for the circumference:

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

where:
- \( C \) is the circumference,
- \( \pi \) (pi) is a mathematical constant approximately equal to 3.14159,
- \( d \) is the diameter of the circle.

Given that the diameter (\( d \)) of the circle is 16 kilometers, we substitute this value into the formula:

[tex]\[ C = \pi \cdot 16 \][/tex]

Thus, the circumference is:

[tex]\[ C = 16\pi \, \text{kilometers} \][/tex]

This is the exact expression for the circumference in its simplest form. The approximate numerical value for this expression is 50.26548245743669 kilometers. Hence, the precise answer is:

[tex]\[ 16\pi \, \text{kilometers} \][/tex]
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