Deion measured a round jar lid. Then he calculated that the area of the lid is 45.3416 square centimeters. What is the lid's circumference?
Question
Deion measured a round jar lid. Then he calculated that the area of the lid is 45.3416 square centimeters. What is the lid's circumference?
Solution
To find the circumference of the lid, we first need to find the radius. We know that the area of a circle is given by the formula A = πr², where A is the area and r is the radius.
Given that the area A = 45.3416 square centimeters, we can set up the equation:
45.3416 = πr²
To solve for r, we divide both sides by π:
r² = 45.3416 / π
Taking the square root of both sides gives us the radius r:
r = sqrt(45.3416 / π)
Once we have the radius, we can find the circumference using the formula C = 2πr, where C is the circumference.
So, the circumference of the lid is:
C = 2π * sqrt(45.3416 / π)
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