Math Problem Statement

A circle has a radius of 10 mm. What is its circumference? Use 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.

Solution

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textThe image contains a math problem asking to find the circumference of a circle with a radius of 10 mm. The value of π (pi) is given as 3.14.

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

C=2πrC = 2\pi r

Where:

  • π=3.14\pi = 3.14
  • r=10mmr = 10 \, \text{mm}

Substituting the given values:

C=2×3.14×10=62.8mmC = 2 \times 3.14 \times 10 = 62.8 \, \text{mm}

Thus, the circumference of the circle is 62.8 mm.

Would you like further clarification on this calculation or help with another question? Here are five related questions:

  1. How do you derive the formula for the circumference of a circle?
  2. What happens if the value of π is more precise (e.g., 3.14159)?
  3. How can you calculate the area of the circle with the same radius?
  4. If the radius was doubled, how would that affect the circumference?
  5. What other properties of circles can be calculated with a given radius?

Tip: Always ensure that you use the correct units when solving geometry problems to avoid errors in your final answer.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circumference of a Circle

Formulas

C = 2πr

Theorems

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Suitable Grade Level

Grades 6-8