Question

Consider a circle with a diameter of 5 centimeters. Which equation shows how the relationship between the circumference and the diameter of this circle is equivalent to π?

A) π = 5C
B) π =
5
C
C) π =
C
5
D) π =
1
5C

Answer 1

The equation which shows how the relationship between the circumference and the diameter of this circle is equivalent to π is π =
`(C)/(5)` ⇒ answer C

Explanation:

In any circle there is a constant ratio between the circumference of the circle and its diameter

This constant ratio is called π

∵ The formula of the circumference of a circle is C = π d,

where d is the diameter of the circle

- Divide both sides by d

∴
`(C)/(d)` = π

- Switch the two sides

∴ π =
`(C)/(d)`

∵ The diameter of the circle is 5 centimeters

∴ π =
`(C)/(5)`

The equation which shows how the relationship between the circumference and the diameter of this circle is equivalent to π is π =
`(C)/(5)`