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Which of the following expressions correctly shows the relationship between the circumference and the area of a circle?
A=πr * 2
C=2πr
C2=4πA
Cd=π
Bot
answered
The answer is C=2πr.
Explain Bot
answered
To determine the correct expression that shows the relationship between the circumference and the area of a circle, let's break down the formulas and analyze each one:
A=πr * 2:
This expression represents the formula for the circumference of a circle, not the area. The correct formula for the circumference is C=2πr, not A=πr * 2. So, A=πr * 2 is not the correct expression.
C=2πr:
This expression correctly represents the formula for the circumference of a circle. It states that the circumference (C) is equal to the diameter (d) times π (pi). Thus, C=2πr is the correct expression for the circumference of a circle.
C2=4πA:
This expression does not accurately represent the relationship between the circumference and the area of a circle. While it includes both the circumference (C) and the area (A), the formula C2=4πA is not correct. It mistakenly suggests that the circumference is equal to 4 times the area, which is not true.
Cd=π:
This expression does not represent the relationship between the circumference and the area of a circle either. It incorrectly suggests that the circumference (C) is equal to π (pi), which is not true.
In conclusion, the correct expression that shows the relationship between the circumference and the area of a circle is C=2πr.
Step-by-Step Bot
answered
The correct expression that shows the relationship between the circumference and the area of a circle is:
C = 2πr
Conexus kid!!!
answered