Calculate Circle Radius: Converting 50.25 Circumference

A circle has a circumference of 50.25.

What is its radius?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the radius
00:03 We'll use the formula for calculating circle circumference
00:08 We'll substitute appropriate values according to the given data and solve for the radius
00:14 We'll substitute the value of pi
00:26 We'll isolate radius R and calculate
00:39 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

A circle has a circumference of 50.25.

What is its radius?

2

Step-by-step solution

We use the formula:

P=2πr P=2\pi r

We insert the known data into the formula:

50.25=3.14×2r 50.25=3.14\times2r

50.25=2×r×3.14 50.25=2\times r\times3.14

50.25=6.28r 50.25=6.28r

50.256.28=6.28r6.28 \frac{50.25}{6.28}=\frac{6.28r}{6.28}

r=8 r=8

3

Final Answer

8

Practice Quiz

Test your knowledge with interactive questions

\( r=2 \)

Calculate the circumference.

222

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Circle questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations

Circumference

Calculate Circle Circumference: Finding Distance with 6-Unit Radius
Click to solve
Calculate Circle Perimeter: Given Radius = 2/3 Units
Click to solve

Circle