Math Problem Statement
The circumference of a circle is approximately 56.5 inches. What is the radius of the circle? Use 3.14 for pi. Round to the nearest whole number.
Solution
The formula for the circumference of a circle is:
Where:
- is the circumference,
- is approximately 3.14,
- is the radius.
Given that the circumference inches and , we can solve for the radius as follows:
Substitute the given values:
Now calculate:
Therefore, the radius of the circle is approximately 9 inches.
Would you like more details or further clarifications?
Here are 5 related questions you might find interesting:
- What would be the area of the circle with this radius?
- How would the radius change if the circumference were doubled?
- What is the diameter of the circle based on the calculated radius?
- How would you calculate the circumference if you were given the radius directly?
- How does the value of affect the accuracy of the result?
Tip: Always ensure you use consistent units when solving geometric problems involving circles.
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Math Problem Analysis
Mathematical Concepts
Geometry
Circles
Circumference
Radius
Formulas
C = 2πr (Circumference formula)
Theorems
Properties of Circles
Suitable Grade Level
Grades 6-8