The area of a circle is 50.24 square centimetres. What is the circle's radius?
Question
The area of a circle is 50.24 square centimetres. What is the circle's radius?
Solution
Sure, to find the radius of a circle given its area, you can use the formula for the area of a circle, which is A = πr², where A is the area and r is the radius.
Here are the steps:
-
You know the area (A) is 50.24 square centimeters.
-
You can rearrange the formula to solve for r (the radius). The rearranged formula is r = sqrt(A/π).
-
Substitute the given area into the formula: r = sqrt(50.24/π).
-
Calculate the value inside the square root: 50.24/π = 15.98 (rounded to two decimal places).
-
Finally, find the square root of 15.98, which is approximately 4.00.
So, the radius of the circle is approximately 4.00 centimeters.
Similar Questions
What is the circumference of a circle that has an area of 50.24 square centimeters?
The area of a semicircle is 39.25 square metres. What is the semicircle's diameter?
The area of a semicircle is 6.28 square metres. What is the semicircle's radius?
The area of a circle is 38.5 cm2. Find the diameter of circle
What is the area of a circle whose circumference is 25cm rounded to the nearest whole number?
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.