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)
Similar Questions
Deion made a pumpkin pie. After measuring the pie tin, Deion calculated it has an area of 34.1946 square inches. What is the pie tin's circumference?
Ronald calculated that the saucer for his teacup has an area of 22.8906 square centimeters. What is the saucer's circumference?
What is the circumference of a circle that has an area of 50.24 square centimeters?
An artist is commissioned to create a round state seal with an area of 5.3066 square meters. What is the seal's circumference?
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?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.