When angle of the sector is 360 area of the sector ie. To begin this lesson on finding the area of a sector well first have to start with the area of a circle.
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The figure below illustrates the measurement.
How to find area of a circle sector. How to find the area of a circle. Do you know how to then find the circumference. The area of a circle pi r2.
You can find it by using proportions all you need to remember is circle area formula and we bet you do. Two radii separate the area of a circle into two sectors - the major sector and the minor sector. The area of a sector of a circle is r where r is the radius and the angle in radians subtended by the arc at the centre of the circle.
This is a great starting point. A circle is 360 degrees so when you place the measurement of the sectors central angle over 360 it gives you the fraction of the whole circle. The perimeter of a sector of a circle of radius 52 cm is 164 cm.
To calculate Area of circle given area of sector you need Area of Sector Asec and Central Angle . In a circle with radius r and center at O let POQ in degrees be the angle of the sector. The formula for area A of a circle with radius r and arc length L is.
Then the area of a sector of circle formula is calculated using the unitary method. The total area of a circle is R2 corresponding to an angle of 2 radians for the full circle. How many ways are there to calculate Area.
The circumference C can be found with the formula of. The whole circle r2 When the angle is 1 area of sector fracr2360 So when the angle is area of sector OPAQ A frac360 r2. The area of a circle is calculated as A r.
So the area of the sector is this fraction multiplied by the total area of the circle. Sector area is found A12r2 A 1 2 r 2 where is in radian. A r 2 Api r2 A r 2.
A circle with a radius r has an area A found through. Area of a circle is given as times the square of its radius length. Find the area of the sector.
So if a sector of any circle of radius r measures area of the sector can be given by. A r L 2. From these considerations how do you find the area of a sector in radians.
Area of sector. When finding the area of a sector you are really just calculating the area of the whole circle and then multiplying by the fraction of the circle the sector represents. With our tool you need to enter the respective value for Area of Sector and Central Angle and hit the calculate button.
If the angle is then this is 2 the fraction of the full angle for a circle. You can also find the area of a sector from its radius and its arc length. You can also select the units if any for Inputs and the Output as well.
The full angle is 2 in radians or 360 in degrees the latter of which is the more common angle unit. As you can easily see it is quite similar to that of a circle but modified to account for the fact that a sector is just a part of a circle. In this formula Area uses Area of Sector and.
C 2 r C2 pi r C 2 r. So in the below diagram the shaded area is equal. This tutorial will first show how to identify what fraction of the circle is occupied by.
Area of a sector. Therefore area swept by the minute hand in one minute is the area of a sector of angle 6 in a circle of radius 14 cm. Watch and learn how to find the area of a given sector of a circle.
The formula used to calculate the area of a sector of a circle is. To calculate the sector area first calculate what fraction of a full turn the angle is. The formula for the area of a sector is angle 360 x x radius2.
Hence required area A is given by 1026 cm 2 Example 6.
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