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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 approximately equal to 1.128 because diam = 2 × √(1 / π) ≈ 1.128.
The formula to find the area of a circle is to square the radius and multiply by π. The inverse of this is divide the area by π, then square root. 900π ÷ π = 900.
Learn how to calculate the area of a circle using the formula A = πr2 or A = (π/4) × D2. See examples, comparisons, and applications with real-world problems.
Learn how to calculate the area of a circle using the formula A = πr2, where r is the radius and π is pi. See the derivation of the formula using rectangles and triangles, and examples of real-life applications of the area of a circle.
- What is the area of a circle with a radius [latex]4[/latex] inches? As you might have guessed, this is a very straightforward problem. The measure of the radius is given to us which is [latex]\color{red}4[/latex] inches.
- Find the area of a circle with a diameter of [latex]10[/latex] centimeters. Here’s the deal. You are assumed to give your answer in terms of [latex]\pi[/latex] unless you are explicitly told to write the area as an approximation.
- Find the exact area of a circle whose diameter has endpoints [latex]\left( { – 7,2} \right)[/latex] and [latex]\left( {5,2} \right)[/latex].
- Find the approximate area of a circle whose radius has a length of [latex]2.5[/latex] centimeters. Note: Use [latex]\large{\pi} = 3.1416[/latex].
The area of a regular polygon is half its perimeter multiplied by the distance from its center to its sides, and because the sequence tends to a circle, the corresponding formula–that the area is half the circumference times the radius–namely, A = 1 2 × 2πr × r, holds for a circle. Terminology.
Oct 25, 2023 · The area of a circle can be calculated using three different formulas. The formulas are used based on whether the radius, diameter, or circumference is known to us. Each of the three situations is discussed below with their formulas and solved examples.
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