Question**: A circle has a circumference of 31.4 meters. What is the area of the circle? - GetMeFoodie
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 circumferenceâÃÂÃÂa fundamental relationship in geometry. If youâÃÂÃÂve ever wondered how to calculate the area given just the circleâÃÂÃÂs 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) âÃÂà3.14
- $ r $ = radius of the circle
Since the circumference is 31.4 meters, we can solve for the radius.
Image Gallery
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:
📰 olympic swimming pool 📰 lent dates 2025 📰 jack kiser 📰 Affinity Federal Credit Union 📰 Att Fidelity Login 843912 📰 Live Update Grow Credit And It Sparks Panic 📰 Official Update V33 00 Fortnite And It Grabs Attention 📰 Portuguese Crazy Games 📰 Nuscale Stock Price 📰 Verizon Cooks Corner Maine 📰 Roblox Game History 33069 📰 Actors In Cant Buy Me Love 6211481 📰 2 Is Basket Random Game Worth Your Time The Hidden Secret Just Revealed 2833856 📰 A Sequence Where Each Bottle Holds Half The Previous Starting With 729 And We Want The Number Of Terms Until The Volume Filled Sum Of Capacities Exceeds Or Equals The Total Solution 729 But Sum Sn 7291 2 N 729 Never Reaches 1986728 📰 Take A Screenshot On Mac 8770420 📰 A Drone Mapping Specialist In Australia Collects Hyperspectral Data Over A 480 Hectare Wheat Field Divided Into 15 Equal Sections Each Section Is Scanned In 8 Passes And Each Pass Generates 12 Gigabytes Of Data How Many Total Gigabytes Of Data Are Collected From The Entire Field 3221896 📰 Stuck Out Of Concorra Credit Login This Skyrockets Your Access Instantly 107647 📰 You Wont Believe How These Big Black Boobs Energized The Fashion World 6573863Final 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.
