The Trigonometry of Circles
Definitions and formulas for the arc and the arc length of a circle, sector and the area of the sector of a circle, the unit circle, the angles on the unit circle in radians, the angles on the unit circle in degrees, the points on the circumference of the unit circle
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arc of a circle | arc length of a circle | sector of a circle |
area of a sector of a circle | the unit circle | points on the circumference of the unit circle |
An arc of a circle: | |
An arc of a circle is a segment of the circumference of the circle. | |
The formula for the arc length of a circle: | |
Arc length of a circle in radians: Arc Length = Arc length of a circle in degrees: Arc Length = |
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A sector of a circle: | |
A sector of a circle is a pie shaped portion of the area of the circle. Technically, the piece of pie is between two segments coming out of the center of the circle. | |
The area of a sector of a circle: | |
Sector area of a circle in radians: Sector Area = Sector area of a circle in degrees: Sector Area = |