If r is the radius of a circle and d is its diameter, which of the following is an equivalent formula for the circumference C=2πr?

AC=2πd
BC=πD
CC=πr2
DC=πdr

Verified Answer :

The answer is B. C=πD 

Answer:

Option B is correct

C=πD

Step-by-step explanation:

As per the statement:

If r is the radius of a circle and D is its diameter.

Given the circumference of the circle:

\(C = 2 \pi r\)             .....[1]

where,

r is the radius of the circle.

We know that:

diameter(D) = 2r

Substitute in [1] we have;

\(C = \pi (2r) = \pi D\)

Therefore, the equivalent formula for the circumference C=2πr is, C=πD