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The area of a circle is the region enclosed by the circle in a two-dimensional plane. It can be calculated using different formulas depending on the given parameters such as radius, diameter, or circumference.
Using Radius
The most common formula to calculate the area of a circle is using the radius (r): [ A = \pi r^2 ] where:
( A ) is the area of the circle
( \pi ) (Pi) is a mathematical constant approximately equal to 3.14159
( r ) is the radius of the circle
For example, if the radius of a circle is 3 meters, the area can be calculated as: [ A = \pi \times 3^2 = \pi \times 9 = 28.27 , \text{m}^2 ]
Using Diameter
If the diameter (D) of the circle is known, the area can be calculated using the formula: [ A = \frac{\pi}{4} D^2 ] where:
( D ) is the diameter of the circle
For example, if the diameter of a circle is 20 inches, the area can be calculated as: [ A = \frac{\pi}{4} \times 20^2 = \frac{\pi}{4} \times 400 = 314 , \text{in}^2 ]
Using Circumference
Area of a Circle Calculator
Jul 30, 2024 · The formulas linking the diameter and area of a circle reads area = π × (diam/2) 2 and diam = 2 × √(area / π). For instance, the diameter of a circle with unit area is …
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Learn how to calculate the area of a circle using the formula A = πr 2 or A = πd 2 /4, where r is the radius and d is the diameter. See the derivation, definition, and examples of area of a circle with diagrams and interactive worksheets.
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The formula to find a circle's area π π (radius) 2 usually expressed as π ⋅r2 π ⋅ r 2 where r is the radius of a circle. The area of a circle is all the space inside a circle's circumference. In diagram 1, the area of the circle is indicated by the …
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