angles formed by Secant chords and tangens rules

Chord

a segment that intersects at exactly 2 points. It stays with in the circle and part of a secant

Tangent

A line that intersects at one point. It is outside of the circle and perpendicular to the radius.

Secant

A line that intersects at exactly 2 points. It passes through a circle and contains a chord.

When the vertex is on the Tangent-Chord Angle

vertex = half the measure of the intercepted arc.

Formula for When the vertex is on the angle

Angle=1/2 x arc

Inscribed Angle

Two Chords

Tangent - Secant

the angle formed is half the difference of the intercepted arcs.

Formula for when the vertex is outside the circle

Angle = ½ (Far Arc - Near Arc)

Two secants formula

Angle = ½ (Far arc - near arc)

Two tangents formula

Angle = ½ (Major arc - Minor arc)

Angle formed by a secant and a tangent formula

t²=(outside secant) x (whole secant)

Angle formed by Tangent and chord

½ (intercepted arc)

Circumerence

C = 2πr

Circle Area

A = πr²

Trapezoid Area

A = ½(b₁+b₂)h

Trapezoid Media

M =( b₁+b₂)/2

Area of a Right Triangle

½ bh

Area of Equilateral Triangle

A = (square root of three)/4 a²

Equation of a Circle

(x-h)²+(y-k)²=R² Center (h,k)

Midpoint formula

(x₁+x₂/2 , y₁+y₂/2)