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Lapatulllka [165]
4 years ago
8

Given a circle with a diameter of 4, which equation expresses π as the ratio of the circumference of a circle to its diameter?

Mathematics
2 answers:
MariettaO [177]4 years ago
6 0

Answer:

\frac{C}{4} = \pi

Step-by-step explanation:

Circumference(C) of a circle is given by:

C = 2 \pi r               ....[1]

where, r is the radius of the circle.

As per the statement:

Given a circle with a diameter of 4.

We know that:

Diameter(D) = 2r

⇒2r = 4

Substitute the value in [1] we have;

C = \pi \cdot (2r)

⇒C =4\pi

Divide both sides by 4 we have;

\frac{C}{4} = \pi

Therefore, the  the ratio of the circumference of a circle to its diameter is, \frac{C}{4} = \pi

julsineya [31]4 years ago
5 0

Your answer would be C/4 = π.

Pi is the ratio of a circle's circumference to its diameter.

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