# Shared Flashcard Set

## Details

20
Mathematics
10/07/2023

Term
 Sum of the angels in a polygon formula
Definition
 n(n-2) * 180
Term
 number of diagonals in a convex polygon
Definition
 n(n-3)/2
Term
 area of a regular polygon
Definition
 n * s^2/4 * tan((n-2) * 180/2n))
Term
 surface area of a prism
Definition
 2B + Area of rectangles along its sides
Term
 volume of a prism
Definition
 Bh
Term
 SA of cylinder
Definition
 2πr^2 + 2πrh
Term
 volume of a cylinder
Definition
 πr^2h
Term
 SA of pyramid
Definition
 B + area of the triangles along its sides
Term
 volume of a pyramid
Definition
 Bh/3
Term
 SA of cone
Definition
 πr^2 + πrl
Term
 volume of a cone
Definition
 1/3πr^2h
Term
 SA of sphere
Definition
 4πr^2
Term
 volume of a sphere
Definition
 4/3πr^3
Term
 central angle
Definition
 an angle with its vertex at the center of a circle, called a central angle, is equal to the measure of the arc angle it intersects
Term
 inscribed angle theorem
Definition
 an angle with its vertex on the circle, called an inscribed angle, has a measure equal to one half of the arc angle it intercepts
Term
 angles between intersecting chords
Definition
 when two chords intersect in a circle, the angle between them is equal to the average of the arc angles formed by the chords
Term
 Angles between intersecting secants
Definition
 when two secants intersect outside a circle, the angel between them is half of the difference between the angles of the intercepted arcs
Term
 angles between tangent line and radius
Definition
 when a line is tangent to a circle, the angle between the radius drawn to the point of tangency and the tangent line is 90 degrees.
Term
 intersecting chords
Definition
 when two chords intersect inside a circle, the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord
Term
 intersecting secants
Definition
 when two secants intersect outside a circle, each of the secants forms two line segments created by the circle and the point of intersection. The product of the length of the line segment from the point of intersection to the circle and the sum of the lengths of both line segments are equal for both secant lines
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