Math Problem Statement
Solution
Let's solve the problems given in the image:
Problem 2:
- The radius of the circle is .
- Use .
- Circumference formula:
Substituting the values:
Problem 4:
- The radius of the circle is .
- Use .
- Circumference formula:
Substituting the values:
The 7 in the numerator and denominator cancel out:
Summary of answers:
- For the first circle (radius = 3 cm), the circumference is 18.84 cm.
- For the second circle (radius = 7 cm), the circumference is 44 cm.
Do you want further explanation or details? Here are five related questions to deepen your understanding:
- What is the formula for calculating the area of a circle, and how would you use it for these examples?
- How does the choice of different approximations for affect the results?
- Can you derive the formula for circumference from the definition of ?
- What would be the circumference of a circle with radius 5 cm using both and for ?
- Why is often approximated as both and ?
Tip: Always ensure to use the same value of throughout your calculations to avoid inconsistencies!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Circumference of Circles
Formulas
Circumference formula: C = 2πr
Theorems
Definition of π as the ratio of a circle's circumference to its diameter
Suitable Grade Level
Grades 5-7
Related Recommendation
Circle Circumference and Area with Radius 1 cm using π ≈ 22/7
Calculate the Area and Circumference of a Circle with a 7 cm Diameter
Calculate the Circumference of a Circle with Radius 7 cm
Calculate the Circumference of a Circle with a 3 cm Radius
Calculate the Circumference of a Circle with Radius 3 cm