area of a sector of a circle in terms of pi calculator
It’s a percent or portion of a disk that is enclosed by that arc and two equal radii. The formula for finding the area of a circle is pi*r*r where r is the radius. This sector consists of a region confined by an arc bounded between two radii. Pi is an irrational number. With this sector area calculator, you'll quickly find any circle sector area, e.g., the area of semicircleor quadrant. Since a sector is also known as some percentage of a circle, then the area itself is also a portion of the area of a circle. To calculate the area of the sector you must first calculate the area of the equivalent circle using the formula stated previously. Questionnaire. Our area of a sector calculator can be used to find sector area of a pizza, dress, land or whatever you want. Area of the sector is a sector like a ‘pizza slice’ in round-shaped pizza. [1] 2020/08/25 00:14 Male / Under 20 years old / High-school/ University/ Grad student / Very / [2] 2020/08/13 14:07 Female / Under 20 years old / High-school/ University/ Grad student / Very / [3] 2020/07/29 00:35 Female / Under 20 years old / High-school/ University/ Grad student / Very / [4] 2020/05/20 02:44 Male / Under 20 years old / An engineer / A little / [5] 2020/05/19 02:03 Male / Under 20 years old / High-school/ University/ Grad student / A little / [6] 2020/05/19 01:57 Male / Under 20 years old / Elementary school/ Junior high-school student / A little / [7] 2020/05/15 01:26 Female / Under 20 years old / High-school/ University/ Grad student / Very / [8] 2020/05/12 23:10 Male / Under 20 years old / High-school/ University/ Grad student / Very / [9] 2020/05/12 12:32 Female / Under 20 years old / High-school/ University/ Grad student / Useful / [10] 2020/05/11 00:41 Male / Under 20 years old / High-school/ University/ Grad student / Very / Your feedback and comments may be posted as customer voice. 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? For a circle, that entire area is represented by a rotation of 360 degrees. Calculate the area of a sector using the radius of an arc and the angle of rotation.
We know that a full circle is 360 degrees in measurement.
If the diameter is 8 cm, then the circumference is c = π(8) = 8π or 25.1 cm, rounded to the nearest tenth. For a sector the area is represented by some other angle. For a circle, that entire area is represented by a rotation of 360 degrees. Our area of a sector calculator is flexible and reliable. This area uses units of degrees for the angle and any unit of distance for the radius. In a semi-circle, there is no major or minor sector. 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 have Sometimes it becomes difficult to get sector area manually on paper.
As, the area of a circle=rThus, the formula of the area of a sector of a circle is:$$\frac{\text{Area of Sector}}{\text{Area of Circle}}\;=\;\frac{Central\;Angle}{360°}$$$$\frac{Area\;of\;Sector}{πr^2}\;=\;\frac{0}{360°}$$$$\text{Area of Sector}\;=\;\frac{0}{360°} * πr^2 $$By using this formula we can find third values if the other two values are given.To measure the angle of a circle in radians, the area of a sector of a circle is$$\frac{Area\;of\;Sector}{Area\;of\;Circle}\;=\;\frac{Central\;Angle}{2π}$$Click on to learn more about similar math concepts of To know the area of the half of a circle, this formula will be applicable.To know the area of a quarter of a circle, this formula will be applied.In the first figure, shaded area covers half the circle.
To calculate the area of the sector you must first calculate the area of the equivalent circle using the formula stated previously. Calculate the area of a sector in a circle when the central angle is given in radians. The circle calculator finds the area, radius, diameter and circumference of a circle labeled as a, r, d ... if writing in terms of π. So the area will be ½ multiplied by πrIn the last figure the angle is 30 degrees so area of the sector will be 30/360.