Unit 5 · Class 9 IB MYP · Formula Sheet
Circle Geometry Formulas — Class 9 IB MYP
Explore angle properties of circles, tangent-chord relationships, and inscribed angles.
Key Formulas
Angle at Centre
\text{Centre angle} = 2 \times \text{Inscribed angle}
Angle in Semicircle
90°
Cyclic Quadrilateral
\text{Opposite angles sum to } 180°
Tangent-Radius
\text{Perpendicular at point of contact}
Worked Examples
1Using: Supplementary Angles
If one angle is 65 degrees, find its supplement.
Step 1: Supplement = 180 - 65
Step 2: = 115 degrees.
Answer: 115 degrees
2Using: Vertically Opposite
Two lines intersect. If one angle is 40 degrees, find the vertically opposite angle.
Step 1: Vertically opposite angles are equal.
Step 2: The angle = 40 degrees.
Answer: 40 degrees
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