Circle A has a diameter of 1 foot. Circle B has a circumference of 1 meter. Which circle is bigger? Explain your reasoning. (1 inch = 2.54 centimeters)
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The answer is: Circle B is bigger than Circle A.
The explanation is shown below:
1. The formula that is used to calculate the circumference of a circle is:
[tex]C=2d[/tex]
Where [tex]d[/tex] is the diameter.
2. Therefore, you can solve for the diameter to calculate the diameter of Circle B:
[tex]d_B=\frac{C}{2}\\d_B=\frac{1m}{2}\\d_B=0.5m[/tex]
3. We know that 1 meter is 3.28 feet, therefore 0.5 meters is half 3.28 feet:
[tex]d_B=\frac{3.28ft}{2}=1.64ft[/tex]
4. As you can see, the diameter of Circle B is bigger, therefore, Circle B is bigger than Circle A.