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Figure 125 : Angles in circle
Figure 125 : Angles in circle
Q01 |
- Diagram
Q02 |
- Angles in circle
Q03 |
- Formula about arc
Q04 |
- References
Q05 |
- Study questions
Q01. Diagram
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Q02. Angles in circle
Defintion
Draw a circle with center at O
Draw chord AB and AC
Draw tangent BD
Angle BOC is called central angle and equal arc in radians
Angle BAC is called circumed angle and equal half of arc inradian
Angle BAC = (angle BOC)/2
Angle DBC is call tangnet chord angle
Angle DBC = angle BAC
Angle BOC = measure of arc BC in radians
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Q03. Formula about arc
1. Arc length = Radius*(arc in radian)
2. Sector area BOC = pi*(radius^2)/2
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Q04. Reference
Geometry 01 06
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Q05. Questions
1. What is the length of circumference ?
2. What is area of a circle ?
3. What is pi ?
4. What is the locus if point P keeps same distance to fixed point C ?
5. Triangle ABC inscribed circle. If AB is diameter, what is angle C ?
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