Questions and Answers
How do you find the measure of an inscribed angle?
An inscribed angle is 1/2 of outside arc.
How do you find the measure of an angle outside a circle?
The measure of an angle outside a circle is 1/2 the difference of the measures of the outside arcs.
How do you find the measure of an angle inside a circle?
The measure of an angle inside a circle is 1/2 the sum of the measures of the outside arcs.
If two chords intersect in a circle, then the products of the lengths of the chord segments are equal.
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The short side x entire side = other short side x entire other side describes the __________ Theorem.
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Unfinished short side squared = opposite short side x opposite entire side describes the __________ Theorem.
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What is the equation of circles?
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What is the formula for the circumference of a circle?
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What is the formula for the area of a circle?
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Study Notes
Inscribed Angles
- Inscribed angle measures are calculated as half of the measure of the outer arc.
Angles Outside a Circle
- The measure of an angle formed outside a circle equals half of the difference between the measures of the external arcs.
Angles Inside a Circle
- An angle found inside a circle is measured as half of the sum of the measures of the arcs outside the circle.
Chord Segments Theorem
- When two chords intersect within a circle, the products of the lengths of their chord segments are equal.
Secant Segments Theorem
- The product of the length of a short side of a secant line times the entire secant line equals the product of the length of the other short side with its entire secant line.
Tangent Secant Theorem
- Squaring the length of the unfinished short side of a tangent line equals the product of the length of the opposite short side and the length of its entire secant segment.
Equation of a Circle
- The standard equation for a circle is expressed as ((x - h)^2 + (y - k)^2 = r^2), where ((h, k)) is the center and (r) is the radius.
Circumference of a Circle
- The formula for calculating the circumference of a circle is (2 \pi \times \text{radius}).
Area of a Circle
- The area can be determined using the formula (\pi \times \text{radius}^2).
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Description
Test your knowledge of inscribed and central angles with these flashcards from Geometry Chapter 10. Understand the relationships between angles and arcs to master this essential concept in geometry. Perfect for review before a test or as a study aid.
