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Area of a circular sector
[1] 2022/06/24 09:42 Under 20 years old / Elementary school/ Junior high-school student / Very / Purpose of useschoolwork Comment/Requestfor schoolwork and a way to calculate sectors easily[2] 2022/05/07 02:11 30 years old level / A teacher / A researcher / Very / Purpose of useCrop circle measuring Comment/Request Seeking to find Arc Length from Radius and Chord Length.[3] 2022/05/03 06:40 Under 20 years old / High-school/ University/ Grad student / Very / Purpose of useSchoolwork Comment/RequestAn option to use 3.14 instead of pi, and have an option for ”in terms of pi”[4] 2021/05/18 19:57 20 years old level / High-school/ University/ Grad student / Very / Purpose of useHomeworkComment/RequestAdd 'in terms of pi'from KeisanPlease enter "pi" as the angle θ and select radian as the unit.(e.g., pi/2, pi*2/3) [5] 2021/05/04 17:02 Under 20 years old / High-school/ University/ Grad student / A little / Comment/RequestI need it in simplest radical form[6] 2021/04/29 23:55 Under 20 years old / High-school/ University/ Grad student / A little / Purpose of useCircle sectors in terms of pi[7] 2021/04/23 16:22 Under 20 years old / High-school/ University/ Grad student / A little / Purpose of usehwComment/Requestplease add "in terms of pi," thank you!from KeisanPlease enter pi[8] 2021/04/17 22:17 20 years old level / High-school/ University/ Grad student / Very / Purpose of useHOMEWORKComment/Requestplease add the "in terms of pi" it can really help thank you[9] 2020/08/29 02:41 Under 20 years old / High-school/ University/ Grad student / A little / [10] 2020/08/24 15:14 Under 20 years old / High-school/ University/ Grad student / Very / Purpose of usehwComment/Requestadd the ability to have the radians option in terms of pi
Thank you for your questionnaire. To improve this 'Area of a circular sector Calculator', please fill in questionnaire. Created by Hanna Pamuła, PhD Reviewed by Bogna Szyk and Jack Bowater Last updated: Aug 27, 2022 With this sector area calculator, you'll quickly find any circle sector area, e.g., the area of semicircle or quadrant. In this short article we'll:
What is a sector of a circle? Sector definitionSo let's start with the sector definition - what is a sector in geometry? A sector is a geometric figure bounded by two radii and the included arc of a circle Sectors of a circle are most commonly visualized in pie charts, where a circle is divided into several sectors to show the weightage of each segment. 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: You may, very rarely, hear about the sector of an ellipse, but the formulas are way, way more difficult to use than the circle sector area equations. Sector area formulaThe formula for sector area is simple - multiply the central angle by the radius squared, and divide by 2:
But where does it come from? You can find it by using proportions, all you need to remember is circle area formula (and we bet you do!):
The same method may be used to find arc length - all you need to remember is the formula for a circle's circumference. 💡 Note that
Special cases: area of semicircle, area of quadrantFinding the area of a semicircle or quadrant should be a piece of cake now, just think about what part of a circle they are!
Sector area calculator – when it may be useful?We know, we know: "why do we need to learn that, we're never ever gonna use it". Well, we'd like to show you that geometry is all around us:
Apart those simple, real-life examples, the sector area formula may be handy in geometry, e.g. for finding surface area of a cone. Arc lengthArea of a circleCircle calc: find c, d, a, r… 5 more How do you find the area of a sector in terms of pi?The formula for the area of the sector of a circle is 𝜃/360o (𝜋r2) where r is the radius of the circle and 𝜃 is the angle of the sector.
How do you calculate sector area?Sector area formula
The formula for sector area is simple - multiply the central angle by the radius squared, and divide by 2: Sector Area = r² × α / 2.
How do you find the shaded sector using pi?Summary: The area of the shaded sector of the circle is A = (θ / 2) × r2 where θ is in radians or (θ / 360) × πr2 where θ is in degrees.
What is the area of a sector in radians?Area of Sector
The area of a sector of a circle is ½ r² ∅, where r is the radius and ∅ the angle in radians subtended by the arc at the centre of the circle. So in the below diagram, the shaded area is equal to ½ r² ∅ .
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