Sam takes a cupcake tray, measures the bottom of one of the cups, and calculates that it has an area of 8.0384 square centimeters. What is the cup's circumference?
Question
Sam takes a cupcake tray, measures the bottom of one of the cups, and calculates that it has an area of 8.0384 square centimeters. What is the cup's circumference?
Solution
To find the circumference of the cup, we first need to find the radius. We know that the area of a circle is given by the formula A = πr². We can rearrange this formula to solve for r (radius): r = sqrt(A/π).
Given that the area (A) is 8.0384 cm², we can substitute this value into the formula:
r = sqrt(8.0384/π) = 1.6 cm
Now that we have the radius, we can find the circumference using the formula C = 2πr:
C = 2π(1.6 cm) = 10.053 cm
So, the circumference of the cup is approximately 10.053 cm.
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