theorem : If an arc has mesure q and radius r, then it's length is
Front
q
---- x 2 pi r
370
Back
Area of a circle
Front
A=πr²
Back
Area of a sector of a circle
Front
q
---- x pi r^2
360
Back
The two tangent theorem
Front
If 2 tangent segments are drawn to a circle from an external point, then those segments and interior angles are congruent.
Back
How to find sum of exterior angle of polygons
Front
180n-(n-2)180
Back
Definition of Regular Polygon
Front
A regular polygon is a convex polygon whose angles are all congruent and whose sides are all congruent
Back
defintion of center or regular polygon
Front
The polygon inscribed in a circle have the same centers
Back
Perimeter of a regular polygon
Front
P(perimeter)=n(number of sides)s(length of side)
p=ns
Back
The two chord power theorem
Front
AE x EB = DE x EC
Back
Theorem
Front
The ratio of the circumference to the diameter is the same for all circles
Back
Definition of a Polygon
Front
A polygon is a connected set of at least three line segments in the same plane such that each segment intersects exactly two others, one at each endpoint
Back
tangent segment
Front
the part of a tangent line between the point of contact and a point outside the circle
Back
Definition of segment of circle
Front
A sector minus the triangle made by endpoints
Back
secant segment
Front
a segment of a secant line that has exactly one endpoint on the circle
Back
How to find sum of interior angles of polygons
Front
(n-2)180
Back
Area of a regular polygon
Front
A=1/2(apothem)(perimeter)
A=ap
Back
Theorem
Front
If two arcs have equal radii, then their lengths are proportional to their measures
Back
Diagonals of polygons formula
Front
n(n-3)
-------
2
Back
The tangent secant power theorem
Front
c x b = a^2
Back
Defintion of sector
Front
The union of the arc and interior of the circles area
Back
Defintion of circumference of a circle
Front
C=pi x diameter
c = 2r pi
Back
apothem of a regular polygon
Front
the perpendicular distance from the center of the polygon to a side
Back
convex polygon
Front
a polygon such that no line containing a side of the polygon contains a point in the interior of the polygon