What is the circumference of a circle that has an area of 50.24 square centimeters?
Question
What is the circumference of a circle that has an area of 50.24 square centimeters?
Solution
To find the circumference of a circle from its area, you need to follow these steps:
-
First, you need to find the radius of the circle. The formula for the area of a circle is A = πr², where A is the area and r is the radius.
-
Given that the area A is 50.24 square centimeters, you can set up the equation 50.24 = πr².
-
To solve for r, divide both sides of the equation by π, then take the square root of the result. This gives you r = sqrt(50.24/π) ≈ 4 cm.
-
Now that you have the radius, you can find the circumference. The formula for the circumference of a circle is C = 2πr.
-
Substituting r = 4 cm into the formula gives you C = 2π(4) = 8π cm ≈ 25.12 cm.
So, the circumference of the circle is approximately 25.12 centimeters.
Similar Questions
What is the area of a circle whose circumference is 25cm rounded to the nearest whole number?
The area of a semicircle is 39.25 square metres. What is the semicircle's diameter?
Find the circumference of a circle with a diameter of 50 centimeters. Round your answer to the nearest centimeter.
What is the area of a circle whose circumference is 62cm rounded to the nearest whole number?913cm2306cm2153cm276cm2
Calculate the circumference of this circle drawn inside a square with sides of length 6.8cm.
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.