Ronald calculated that the saucer for his teacup has an area of 22.8906 square centimeters. What is the saucer's circumference?
Question
Ronald calculated that the saucer for his teacup has an area of 22.8906 square centimeters. What is the saucer's circumference?
Solution
The area of a circle is given by the formula A = πr², where r is the radius of the circle. Given that the area of the saucer is 22.8906 square centimeters, we can solve for r:
22.8906 = πr² r² = 22.8906 / π r = sqrt(22.8906 / π)
Once we have the radius, we can find the circumference of the saucer using the formula C = 2πr. Substituting the value of r we found:
C = 2π * sqrt(22.8906 / π)
This will give us the circumference of the saucer.
Similar Questions
A teacup has a diameter of 8 centimeters. What is the teacup's circumference?Use 3.14 for 𝜋. If necessary, round your answer to the nearest hundredth.
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?
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?
What is the circumference of a circle that has an area of 50.24 square centimeters?
Christine measures a subway token and calculates that it has a circumference of 60.916 millimeters. What is the token's diameter?
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.