Circumference and Area of a Circle Calculator
Created by Kaushik RabadiyaLast updated: July 22, 2024Circumference and area of a circle instantly calculates results using area, circumference, diameter. Use the calculator above for instant answers in your browser.
Key takeaway: Evaluate the variables of a circle with our circumference and area of a circle calculator. This free Circumference and Area of a Circle Calculator is designed for students, teachers, and anyone who needs quick math answers — enter your values above to get instant results.
Are you interested in calculating the area and circumference of a circle and the formula behind it? This is the perfect tool.
Circles are present in many places. Coins, pizzas, and vinyl disks are examples of circular objects, and the area is an essential aspect of them.
Read on if you're interested in:
- How to find the area and circumference of a circle.
- How the circumference and area of a circle relate to each other.
- How to find the area of a quarter circle.
💡 Did you know
The diameter and, therefore, the area of a pizza are critical in determining the optimum pizza size for your budget and taste. In fact, we have a pizza cost comparison calculator for your delight.
Formula to calculate the circumference and area of a circle
These are the formulas to calculate the circumference and area of a circle:
c = 2πr
A = πr² = πd²/4
where:
cstands for circumference;rfor radius; anddfor the diameter of the circle.
π is a constant approximately equal to 3.14159265359 and, among other things, represents the circumference-to-diameter ratio of any circle.
How to find the circumference and area of a circle
Suppose you want to know how to find the circumference and area of a circle with an 8 cm radius. In that case, these would be the steps to follow:
- Use the formulas to calculate the circumference and area:
c = 2πrandA = πr². - The circumference should equal
c = 2π × 8 cm = 50.265 cm. - The area should equal
A = π × (8 cm)² = 201.06 cm². - To check your results, input the 8 cm radius in the calculator. The results should also be 50.265 cm and 201.06 cm².
After mastering the process of calculating the circumference of and area of circles, you may look at these other tools and keep improving your skills:
- Circle calc: find c, d, a, r;
- Circle measurements calculator;
- Circle formula calculator;
- Radius of a circle calculator;
- Circle length calculator;
- Circumference to diameter;
- Diameter of a circle calculator;
- Circle perimeter calculator;
- Square footage of a circle calculator; and
- Square inches of a circle calculator.
FAQs
How are the circumference and area of a circle related?
They relate to each other by the following formula: c = 2√(πA). The equation says circumference is proportional to the square root of the area, so the bigger the circle size, the greater the circumference.
What is the area of a 9-inch circle?
63.617 in². To find the area of any circle, given its diameter: Multiply π (pi) by the diameter square: π × (9 in)² = 254.47 in². Divide that result by four: 254.47 in²/4 = 63.617 in². Now you know what the area of a 9-inch circle is ✔️
How do I find the area of a quarter-circle?
To get the area of a quarter-circle: Take the formula of the area of an ordinary circle: A = πr². Divide that formula by four. After following these steps, we can note that the area of a quarter circle is A = πr²/4.
Formula verified against Mathematical standards (ISO 80000-2) — all calculations use deterministic, standards-based formulas.
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