Math Problem Statement

if substitute r = 5 into c = 2 pi r then the result to 2 decimal places is

Solution

To solve for cc when r=5r = 5 in the equation c=2πrc = 2 \pi r:

  1. Substitute r=5r = 5 into the equation:

c=2π×5c = 2 \pi \times 5

  1. Calculate:

c=10πc = 10 \pi

Using π3.1416\pi \approx 3.1416:

c=10×3.1416=31.416c = 10 \times 3.1416 = 31.416

Rounding to 2 decimal places:

c31.42c \approx 31.42

So, the result is c=31.42c = 31.42.

Would you like more details on this, or have any questions?

Here are 5 related questions:

  1. How would the result change if r=10r = 10?
  2. What is the circumference formula for a circle?
  3. Can you derive the formula c=2πrc = 2 \pi r?
  4. How is the value of π\pi determined?
  5. How does the circumference relate to the diameter of a circle?

Tip: Always keep π\pi in your calculations until the final step to avoid rounding errors!

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Math Problem Analysis

Mathematical Concepts

Geometry
Circumference of a Circle

Formulas

Circumference formula: c = 2πr

Theorems

Constant Pi (π)

Suitable Grade Level

Grades 6-8