Circles and applications
Q01. Diagram
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Q02. Circle : Name of angles
- Central angle = arc subtended
- Circum-angle = (arc subtended)/2
- Chord tangent angle = (arc subtended angle)/2
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Q03. Bisect angle
Method and proof
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Q04. Circle insribed a quadrilateral
Question
- Prove that AB + CD = AD + BC
- Circle insribed quadrilateral AB + CD = AD BC
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Q05. Common tangent of two circle
Question
- Draw lines AC and BD passing the common tangent points
- Then AB is parallel to CD
- Tangent chord angle 1 = angle C
- Tangent chord angle 2 = angle A
- Tangent chord angle a and tangent chord angle 2 are vertical angle
- Hence angle A = angle C
- Hence line AB is parallel to CD
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