View source for Angles in a circle subtended by a chord

The angle made at the centre of a circle by the radii at the end points of a chord is called the central angle or angle subtended by a chord at the centre.

=== Objectives ===
Understand different angles subtended by a chord in a circle

===Estimated Time===
30 minutes

=== Prerequisites/Instructions, prior preparations, if any ===
Prior knowledge of point, lines, angles, polygons

===Materials/ Resources needed===
* Digital :	Computer, geogebra application, projector.
* Non digital : Worksheet	and pencil, compass, strings
* Geogebra	files :  [https://ggbm.at/tw43kwu3 Angle	subtended by chord.ggb]

{{Geogebra|tw43kwu3}}

===Process (How to do the activity)===
* Two	equal chords are drawn, the endpoints are joined to the center of	the circle to form triangles.
* What	can you say of the angles subtended by the two	chords?	How	are the two subtended angles equal. Compare triangles formed.
* When is the subtended angle  the largest?
* If the angles subtended are equal will the chords be of equal	measure?
'''HW Activity :''' Draw circle, at the center draw two angles of equal measure. Mark the chords formed by the angles. Measure the lengths of the two chords. Note your observations.

[[Category:Circles]]