Math Problem Statement

The circumference of a circle is 12.56 miles. What is the circle's diameter?

Solution

The circumference CC of a circle is related to its diameter dd by the formula:

C=πdC = \pi d

Given that the circumference CC is 12.56 miles, we can find the diameter by rearranging the formula:

d=Cπd = \frac{C}{\pi}

Substituting the given value:

d=12.56 milesπ12.56 miles3.14164 milesd = \frac{12.56 \text{ miles}}{\pi} \approx \frac{12.56 \text{ miles}}{3.1416} \approx 4 \text{ miles}

So, the diameter of the circle is approximately 4 miles.

Would you like more details or have any questions? Here are some related questions you might find interesting:

  1. What is the radius of the circle with a circumference of 12.56 miles?
  2. How do you calculate the area of a circle if you know the diameter?
  3. If the circle's radius were doubled, what would be the new circumference?
  4. How is the diameter of a circle related to its area?
  5. What is the length of the arc subtended by a 90° angle in this circle?

Tip: Always remember, the diameter is twice the radius of a circle!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Circle Geometry

Formulas

Circumference of a circle: C = πd

Theorems

-

Suitable Grade Level

Grades 6-8