Calculate Circle Radius: Converting 25 cm² Area Using A = πr²

A circle has an area of 25 cm².

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 circle's radius
00:03 We'll use the formula for calculating circle area
00:14 We'll substitute the area value according to the given data and solve for the radius
00:20 We'll isolate the radius R
00:37 Make sure to take the square root of both numerator and denominator
00:48 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 an area of 25 cm².

What is its radius?

2

Step-by-step solution

Area of the circle:

S=πr2 S=\pi r^2

We insert the known data:

25=πr2 25=\pi r^2

Divide by Pi:25π=r2 \frac{25}{\pi}=r^2

Extract the root:25π=r \sqrt{\frac{25}{\pi}}=r

5π=r \frac{5}{\sqrt{\pi}}=r

3

Final Answer

5π \frac{5}{\sqrt{\pi}} cm

Practice Quiz

Test your knowledge with interactive questions

A circle has a circumference of 31.41.

What is its radius?

🌟 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

Area of a Circle

Calculate Circle Area: Converting 7cm Diameter Using π
Click to solve
Calculate Circle Area: Given Radius of 3 Units and Center O
Click to solve