Difference between revisions of "Sector"
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== Area == | == Area == | ||
− | The [[area]] of a sector <math>AOB</math> is found by [[multiply]]ing the area of circle <math>O</math> by <math>\frac{\theta}{2\pi}</math>, where <math>\theta</math> is the central angle, <math>\angle AOB</math>, in radians. | + | The [[area]] of a sector <math>AOB</math> is found by [[multiply]]ing the area of circle <math>O</math> by <math>\frac{\theta}{2\pi}</math>, where <math>\theta</math> is the [[central angle]], <math>\angle AOB</math>, in radians. |
Therefore, the area of a sector <math>AOB</math> is <math>\frac{r^2\theta}{2}</math>, where <math>r</math> is the radius and <math>\theta=\angle AOB</math> is in radians. | Therefore, the area of a sector <math>AOB</math> is <math>\frac{r^2\theta}{2}</math>, where <math>r</math> is the radius and <math>\theta=\angle AOB</math> is in radians. |
Revision as of 19:51, 24 April 2008
A sector of a circle is a region bounded by two radii of the circle, and , and the arc .
Area
The area of a sector is found by multiplying the area of circle by , where is the central angle, , in radians.
Therefore, the area of a sector is , where is the radius and is in radians.
Alternatively, if is in degrees, the area is .
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