Thursday, February 28, 2013

Maths

Unit 8 : Angles Properties in Circles

Learning Objectives

The students should be fitted to:

recognize various parts of a circle.

state the properties of harmonizes of a circle.

state and go for the property of angles at the displace.

state and apply the property of angles in the same department.

recognize the property of angles in a semi-circle.

explain the meaning of the concyclic points.

state the properties of angles in a cyclic quadrilateral.

state the definition of a tangent to a circle.

recognize the properties of the tangents to a circle.

state and apply the alternate segment theorem.

Circles

1.Parts of a circle

A circle is a shut curve in a plane such that whole points on the curve are equidistant from a primed(p) point.

The given distance is called the radius of the circle.

A chord is a line segment with its end points on the circle and a diameter is a chord passing through the centre.

An dismissal is a part of the circle.

A segment is the region jump by a chord and an arc of the circle.

A domain is the region bounded by two radii and an arc.

2.Chords of a circle

next are properties on chords of a circle. All these facts can be proved by the properties of congruent triangles.

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