how to find the area of a sector of a circle
You can find it by using Finding the area of a semicircle or quadrant should be a piece of cake now, just think about what part of a circle they are!Knowing that it's half of the circle, divide the area by 2:Of course, you'll get the same result when using sector area formula. We can calculate the area of the sector, given the central angle and radius of circle. If you want to find the area of a sector from a circle… To get the area from the circumference, take the square of the circumference and divide by pi. Double the radius, then multiply by pi. Amid the current public health and economic crises, when the world is shifting dramatically and we are all learning and adapting to changes in daily life, people need wikiHow more than ever. That gives you the sector area. Finally, multiply .28 by 78.5 for a final answer of 21.89, which is the area of the sector. Geometric skills. ): The area of a circle is calculated as A = πr².
Therefore, the central angle is equal to the sector area multiplied by 360° and then divided by πr².
As shown above, the formula is (60°/360°) π (3)² = (1/6)(3.14159)(9).
With this sector area calculator, you'll quickly find any circle sector area, e.g., So let's start with the sector definition - what is a sector in geometry?The pictures below show a few examples of circle sectors - it doesn't necessarily mean that they will look like a pie slice, sometimes it looks like the rest of the pie after you've taken a slice:The formula for sector area is simple - multiply the central angle by the radius squared, and divide by 2:But where does it come from? When the angle at the center is 360°, area of the sector, i.e., the complete circle = πr² When the angle at the center is 1°, area of the sector = Thus, when the angle is θ, area of sector, OPAQ = Arc length is a fraction of circumference. The area, A of the circle with radius r is given by \(A\) = \(π~r^2\) Definition 3: The portion of the circle enclosed by two radii and the corresponding arc is known as the sector of a circle.
The area of a circle is: Divide the length of the arc by the length of the circumference.
Every day at wikiHow, we work hard to give you access to instructions and information that will help you live a better life, whether it's keeping you safer, healthier, or improving your well-being. The formula for sector area is simple - multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2; But where does it come from? That gives you the central angle of the sector. You can find it by using proportions, all you need to remember is circle area formula (and we bet you do!
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