FANDOM


The sector area is the measure of the area along the curved line filling up the arc sector. It is longer than the straight line distance between its endpoints (which would be a chord) The formula the arc measure is:

\frac{\theta}{360}R^2\pi

where:

\theta is the central angle of the arc in degrees
R is the radius of the arc


Recall that R^2\pi is the area of the whole circle, so the formula simply reduces this by the ratio of the arc angle to a full angle (360). By transposing the above formula, you solve for the radius, central angle, or secto area if you know any two of them.

The sector area of a Polygon is:

\frac{\theta}{180n-360}A_n

Circumscribed sector area

The sector area of a circumscribed circle is:

\frac{\theta}{360} s^2\frac{\pi}{4sin^2(\frac{180}{n})}

Inscribed sector area

The sector area of a inscribed circle is:

\frac{\theta}{360} s^2\frac{\pi}{4tan^2(\frac{180}{n})}

Ad blocker interference detected!


Wikia is a free-to-use site that makes money from advertising. We have a modified experience for viewers using ad blockers

Wikia is not accessible if you’ve made further modifications. Remove the custom ad blocker rule(s) and the page will load as expected.