Properties of Circles
Content
Content
- Symmetry Properties of Circles
- Angle Properties of Circles
- Tangents from an External Point
- Angles in Cyclic Quadrilaterals
Symmetry Properties of Circles
Symmetry Properties of Circles
Angle Properties of Circle
Angle Properties of Circle
Tangents from an External Point
Tangents from an External Point
For a circle, two tangents, PX and PY can be drawn from an external point P.
Tangent makes an angle of 90° with radius of the circle.
PX = PY
< XOP = < YOP and < XPO = < YPO
Angles in Cyclic Quadrilaterals
Angles in Cyclic Quadrilaterals
A four sided polygon whose vertices touch the circumference of a circle is called Cyclic Quadrilateral.
Sum of diagonally opposite angles of a cyclic quadrilateral is 180°.
<a + <b = 180°
<c + <d = 180°