Math Problem Statement

The radius of a circle is 4.7 ft. Find the circumference to the nearest tenth.

Solution

To find the circumference of a circle, you can use the formula:

C=2πrC = 2\pi r

Where:

  • CC is the circumference
  • rr is the radius of the circle

Given:

  • r=4.7r = 4.7 ft

Substitute the value of rr into the formula:

C=2×π×4.7C = 2 \times \pi \times 4.7

Using π3.1416\pi \approx 3.1416:

C=2×3.1416×4.729.5ftC = 2 \times 3.1416 \times 4.7 \approx 29.5 \, \text{ft}

So, the circumference is approximately 29.5 feet to the nearest tenth.

Would you like further explanation or more examples? Here are 5 related questions you might find interesting:

  1. How do you calculate the area of a circle if you know the radius?
  2. What happens to the circumference of a circle if the radius is doubled?
  3. How do you use the circumference to find the radius of a circle?
  4. How does changing the radius affect the area of the circle?
  5. How do you calculate the diameter of a circle from the circumference?

Tip: Always round π to 3.1416 for most practical purposes, but use more decimal places if needed for greater precision.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circles
Circumference

Formulas

Circumference formula C = 2πr

Theorems

Circumference of a circle

Suitable Grade Level

Grades 6-8