Greta measured the button on her jacket. Then she calculated that it has an area of 50.24 square millimeters. What is the button's circumference?
Question
Greta measured the button on her jacket. Then she calculated that it has an area of 50.24 square millimeters. What is the button's circumference?
Solution
To find the circumference of the button, 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: r = sqrt(A/π).
Given that the area A is 50.24 square millimeters, we can substitute this value into the formula to find the radius:
r = sqrt(50.24/π) ≈ 4 mm
The circumference of a circle is given by the formula C = 2πr. Substituting r = 4 mm into this formula gives:
C = 2π(4) ≈ 25.12 mm
So, the circumference of the button is approximately 25.12 millimeters.
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