chp.11 theorems

13 terms by 3DGmpm

Create a new folder

Advertisement Upgrade to remove ads

polygon interior angles theorem

the sum of the measures of the interior angles of a convex n-gon is (n-2)180°

corollary to polygon interior angles theorem

the measure of each interior angle of a regular n-gon is 1/2(n-2)180°

polygon exterior angles theorem

the sum of the measures of the exterior angles of a convex polygon, one angle at each vertex, is 360°

corollary to polygon exterior angles theorem

the measure of each exterior angle of each of the exterior angle of a regular n-gon is 1/n(360°)

area of an equilateral triangle theorem

the area of an equilateral triangle is one fourth the squaere of the length of the side times √3

area of a regular polygon theorem

the area of a regular n-gon with side length s is half the producr of the apothem and the perimeter, so A=1/2a(p)

area of similar polygons theorem

if 2 polygons are similar with the lengths of corresponding sides in the ratio a:b, then the ratio of the area is a²:b²

circumference of a circle theorem

the circumference C of a circle is C=πd

arc length corollary

in a circle, the ratio of the length of a given arc to the circumference is = the ratio of the measure of the arc to 360°

area of a circle theorem

the area of a circle is π(r²)

area of a sector

the ratio of the area of a sector of a circle to the area of the circle is = to the ratio of the measures of the intercepted arc 360°

probability and length

let segment AB be a segment that contains the segment CD. if a point K on segment AB is chosen at random, then the probability that it is on segemtn CD is as follows P(point K is on segment CD)= Legment of segement CD/ length of AB

probability and area

let J be the region that contains region M. If a point K in J is chosen at random, then the probability that it is in region M is as follows

Please allow access to your computer’s microphone to use Voice Recording.

Having trouble? Click here for help.

We can’t access your microphone!

Click the icon above to update your browser permissions above and try again

Example:

Reload the page to try again!

Reload

Press Cmd-0 to reset your zoom

Press Ctrl-0 to reset your zoom

It looks like your browser might be zoomed in or out. Your browser needs to be zoomed to a normal size to record audio.

Please upgrade Flash or install Chrome
to use Voice Recording.

For more help, see our troubleshooting page.

Your microphone is muted

For help fixing this issue, see this FAQ.

Star this term

You can study starred terms together

NEW! Voice Recording

Create Set