MATH SOLVE

7 months ago

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

Accepted Solution

A:

Answer:[tex]\frac{C}{4} = \pi[/tex]Step-by-step explanation:Circumference(C) of a circle is given by:[tex]C = 2 \pi r[/tex] ....[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 = 4Substitute the value in [1] we have;[tex]C = \pi \cdot (2r)[/tex]⇒[tex]C =4\pi[/tex]Divide both sides by 4 we have;[tex]\frac{C}{4} = \pi[/tex]Therefore, the the ratio of the circumference of a circle to its diameter is, [tex]\frac{C}{4} = \pi[/tex]