Circle Flashcards
Circumference
2ñr
Circle Theorem 1
Angles at the Center
Twice the angle at the circumference standing on the same arc.
Circle Theorem 2
Angles in the same Segment
Are equal
Circle Theorem 3
Angles in a SemiCircle
The angle subtended at the circumference by a diameter is a right angle.
Circle Theorem 4
Cyclic Quadrilateral
Opposite angles are supplementary
Circle Theorem 5
Exterior angle of a cyclic quadrilateral
Equal to the interior opposite angle
Circle Theorem 6
Angle between a Tangent and Radius
Is 90°
Circle Theorem 7
Angle between a Tangent and a Chord
Is equal to the angle in the alternate segment
Circle Theorem 8
Center of a circle and Midpoint of a Chord
Is perpendicular
Circle Theorem 9
Length of two Tangents from an external point to the point of contact on the circle
are equal.
Area
ñr^2
Arc length
°/360*2ñr
Area of sector
°/360*ñr^2