The Relationship Between Circumference & Area Quick Check

Question

1 of 51 of 5 Items
Question
Which of the following expressions correctly shows the relationship between the circumference and the area of a circle?(1 point)
Responses

C2=4πA
upper C squared equals 4 pi upper A

C=2πr
upper C equals 2 pi r

A=πr2
upper A equals pi r squared

Cd=π
Start Fraction upper C over d End Fraction equals pi
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Answer 1

The correct expressions that show the relationship between the circumference and the area of a circle are:

1. C = 2πr (This equation defines the circumference of a circle.)
2. A = πr² (This equation defines the area of a circle.)

Out of the options provided, both C = 2πr and A = πr² are correct.

If you were looking for just one expression that captures the relationship without needing both, you might refer to C and A in conjunction to highlight the relationship, but both individual formulas are valid in their own right.

The other expressions, C² = 4πA and C/d = π, are not standard relationships and are derived forms or interpretations that are less direct compared to the standard definitions of circumference and area. Thus, C = 2πr and A = πr² are the key formulas regarding the relationship.