Question
upstudy study bank question image url

\( P=2 \pi r+2 L+2 r \quad \) for \( L \)

Ask by Harrington Joseph. in the United States
Mar 15,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

\( L = \frac{P - 2\pi r - 2r}{2} \)

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

The Deep Dive

To solve for \( L \) in the equation \( P = 2 \pi r + 2 L + 2 r \), first, you can isolate \( 2L \) by subtracting \( 2 \pi r \) and \( 2r \) from both sides, which gives you \( 2L = P - 2 \pi r - 2r \). Now, simply divide everything by 2 to find \( L \): \[ L = \frac{P - 2 \pi r - 2r}{2}. \] This equation reveals how the perimeter \( P \) relates to both the radius \( r \) and the length \( L \). When dealing with equations like this, a common mistake is forgetting to keep track of the terms when moving them around. Always ensure you perform the same operation to both sides of the equation and check your math after each step. A helpful tip is to rewrite the equation in a simpler form before starting your calculations; this can often clarify your next steps and help avoid errors.

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