Question

If a circle has a diameter of 10 cm, what is its circumference using \( \pi \\)?

Ask by Dickson Martin. in the United States
Nov 29,2024

Real Tutor Solution

Tutor-Verified Answer

Answer

The circumference is approximately 31.4159 cm.

Solution

The circumference of a circle can be calculated using the formula: \[ C = \pi d \] where \( C \) is the circumference and \( d \) is the diameter of the circle. Given that the diameter \( d \) is 10 cm, we can plug this value into the formula: \[ C = \pi \times 10 \text{ cm} \] Using the value of \( \pi \) as approximately 3.14159, we get: \[ C = 3.14159 \times 10 \text{ cm} \] \[ C = 31.4159 \text{ cm} \] So, the circumference of the circle is approximately 31.4159 cm.

Reviewed and approved by the UpStudy tutoring team

error msg
Explain
Simplify this solution

Extra Insights

To find the circumference of a circle, you can use the formula \( C = \pi \times d \), where \( d \) is the diameter. Given that the diameter is 10 cm, the calculation would be \( C = \pi \times 10 \). Thus, the circumference is \( 10\pi \) cm. Did you know that the concept of the circle and its properties has been around for thousands of years? Ancient civilizations like the Egyptians and Greeks used the circle in various fields from architecture to astronomy, appreciating its symmetry and perfection! In practical terms, understanding the circumference helps in numerous real-world scenarios. For instance, if you're planning to make a circular garden or a pizza, knowing the circumference can help you calculate the materials needed or the area of your circular space! So next time you slice into that pizza, remember the geometry behind it!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy