Math Problem Statement
Find the radius given that the circumference of a circle is 15.7 km and pi is 3.14.
Solution
The problem provides the circumference of a circle and asks to find the radius , using .
The formula for the circumference of a circle is:
We can solve for by rearranging the formula:
Substitute and :
Now, let's calculate the value of .The radius of the circle is .
Would you like more details or have any questions?
Here are five related questions to deepen your understanding:
- How would the formula for the radius change if you had the diameter instead of the circumference?
- What would the radius be if the circumference was doubled?
- How can you calculate the area of the circle using the radius you just found?
- What is the relationship between the radius and the diameter of a circle?
- How does using a more precise value for affect the accuracy of the radius calculation?
Tip: The radius is always half the diameter, so knowing one helps you find the other easily.
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Math Problem Analysis
Mathematical Concepts
Geometry
Circles
Radius
Circumference
Formulas
C = 2πr
r = C / 2π
Theorems
Circumference Theorem
Suitable Grade Level
Grades 6-8