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Circle geometry

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Circle geometry

1. 1. Circle Geometry<br />By: Cameron Starcheski, Melanie Bender, and Sarah Somerville<br />
2. 2. Terminology<br /><ul><li>A ‘chord’ divides a circle into two arcs</li></ul>Major (larger)<br />Minor (smaller)<br /><ul><li>If the word ‘arc’ appears by itself, it means the minor arc
3. 3. An inscribed angle has its vertex on the circle and two chords from the arms
4. 4. The word ‘subtended’ is used when a third chord completes the triangle
5. 5. A ‘central angle’ has its vertex in the centre of the circle and its arms equal the radius</li></li></ul><li>Circle Theorem 1:<br />Perpendicular bisector of a chord passes through the center of the circle. <br />
6. 6. Circle Theorem 2: <br />If two chords are congruent they are equidistant from the centre. <br />
7. 7. Circle Theorem 3:<br />Measure of the central angle subtended by a chord is equal to twice the angle at the circumference. <br />
8. 8. Circle Theorem 4: <br />Angle subtended by same arc are equal. <br />
9. 9. Circle Theorem 5: <br />The angle subtended by a diameter is a right angle. <br />