Question**: A circle has a circumference of 31.4 meters. What is the area of the circle?

Question: A circle has a circumference of 31.4 meters. What is the area of the circle?

Understanding the area of a circle starts with knowing its circumferenceÃÂ¢ÃÂÃÂa fundamental relationship in geometry. If youÃÂ¢ÃÂÃÂve ever wondered how to calculate the area given just the circleÃÂ¢ÃÂÃÂs circumference, this article will guide you step-by-step through the process using a real-world example: a circle with a circumference of 31.4 meters.

What Is Circumference and Why Does It Matter?

Understanding the Context

Circumference is the total distance around the edge of a circle, measured in meters (or any unit of length). The formula to calculate circumference is:

$$
C = 2\pi r
$$

where:
- $ C $ = circumference
- $ \pi $ (pi) ÃÂ¢ÃÂÃÂ 3.14
- $ r $ = radius of the circle

Since the circumference is 31.4 meters, we can solve for the radius.

Circumference And Area Of A Circle Worksheet

Image Gallery

Area And Circumference Of A Circle Worksheet - Adriansonfifth

Circumference of a Circle Worksheets - Math Monks - Worksheets Library

How to Find the Circumference and Area of a Circle: 5 Steps

Key Insights

Step 1: Solve for the Radius

Using the circumference formula:

$$
31.4 = 2\pi r
$$

To isolate $ r $, divide both sides by $ 2\pi $:

$$
r = rac{31.4}{2\pi}
$$

🔗 Related Articles You Might Like:

📰 Comic Vine Api Key 📰 Pollip Hearts Silksong 📰 Chibi Robo Walkthrough 📰 The Ultimate Drive Car Game That Has Gamers Obsessed Omg 6868962 📰 Bank Of America Easley Sc 📰 Extract Xiso Download 📰 Emergency Alert Kotor 2 Cheats And The Response Is Massive 📰 Indiana Fever Vs Chicago Sky Timeline 3880633 📰 Stop Missing Outuse This Cusip Look Up Tool Today For Fast Results 1502422 📰 Windows Winuti 📰 Rotate Pc Display 9612699 📰 Unexpected News Wells Fargo Marbach And The Internet Reacts 📰 Excel Sort By Column 📰 Chasers Nightwar 📰 Best Domain And Web Hosting 📰 Monarchmoney Explained Why Everyones Talking About This Revolutionary Banking App 3244751 📰 Service Msc Shock How This Hidden Service Saves You Thousands 6635283 📰 Kirby Ice House Heights 8999506

Final Thoughts

Substituting $ \pi pprox 3.14 $:

$$
r = rac{31.4}{2 \ imes 3.14} = rac{31.4}{6.28} = 5 \ ext{ meters}
$$

So, the radius of the circle is 5 meters.

Step 2: Use the Radius to Calculate the Area

The area $ A $ of a circle is calculated with the formula:

$$
A = \pi r^2
$$

Now plug in $ r = 5 $:

$$
A = \pi \ imes 5^2 = \pi \ imes 25 pprox 3.14 \ imes 25 = 78.5 \ ext{ square meters}
$$

Final Answer

A circle with a circumference of 31.4 meters has an area of 78.5 square meters.