Question

Describe the relationship between a circumference of a circle and its diameter.

Group of answer choices
options:
The circumference is half the length of the diameter.

The diameter is about 3.14 times greater than the circumference.

The circumference is about 3.14 times greater than its diameter.

The circumference is twice the length of its diameter.

which one i pick help!!!

Answer 1

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Explanation:

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Answer 2

Let’s start with defining an important relationship between the circumference and diameter.

The ratio of the circumference to the diameter always produces the quotient of pi (or 3.14….) for any circle. So, pi is a constant that can help find the circumference diameter given one or the other. This relationship is stated mathematically as:

Π=C/d, where C=circumference and d=diameter

So, to solve for the circumference given the diameter, we can rearrange the above equation with Algebra:

Multiply both sides by d:

Π•d=C

So, this means that the circumference is about 3.14 times greater than the diameter in any circle. This should make sense because the d=C/π.

Answer: the circumference is 3.14 times larger than the diameter.