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Accelerated Math 2
Two minor arcs are congruent if and only if their corresponding chords are congruent.
Remember: A tangent is perpendicular to the radius Also, if two tangents start at the same point, then they are congruent.
If one chord is a perpendicular bisector of another chord, then the first chord is a diameter. All of the following congruencies will be true:
Arc Length is a partial circumference Arc Length differs from Arc Measure in that it is measured in units (cm, ft, in……) Arc Measure is measured in degrees Formula:
Usually a shaded area, like a slice or multiple slices of pizza Sector Area is a partial area Formula:
Circumference Arc Radius Diameter Chord Tangent Segment Sector Semicircle.
Circles Review UNIT 9. Standards Standard 78: Identify and describe relationships among circles (radius, diameter, chord, tangent, secant, etc.) Standard.
Section 10-2 Arcs and Central Angles. Theorem 10-4 In the same circle or in congruent circles, two minor arcs are congruent if and only if their corresponding.
Unit 3: Circles & Spheres Math 2 – 6.3 Properties of Chords.
6.3 – 6.4 Properties of Chords and Inscribed Angles.
10.3 – Apply Properties of Chords. In the same circle, or in congruent circles, two ___________ arcs are congruent iff their corresponding __________.
CIRCUMFERENCE: The distance around the circle. If you unwrap a circle, how long will the line be? or So what is anyway?
Chord and Tangent Properties. Chord Properties C1: Congruent chords in a circle determine congruent central angles. ●
1. 3x=x y+5y+66= x+14x= a 2 +16=25 Note: A diameter is a chord but not all chords are diameters.
Chapter 7 Circles. Circle – the set of all points in a plane at a given distance from a given point in the plane. Named by the center. Radius – a segment.
11.5 Sectors and Arc Lengths Learning Objective: To find lengths of arcs and areas of sectors. Warm-up (IN)
Chapter 10 - Circles Section 10.2 – Arcs and Chords.
Applied Math II
Radius diameter secant tangent chord Circle: set of all points in a plane equidistant from a fixed point called the center. Circle 4.1.
Circles and Chords. Vocabulary A chord is a segment that joins two points of the circle. A diameter is a chord that contains the center of the circle.
Main Idea 1: If the arcs are congruent, then the chords are congruent. REVERSE: If the chords are congruent, then the arcs are congruent. Main Idea 2:
8-2 FORMULAS Area Circumference Sectors. REVIEW: RADIUS AND DIAMETER The RADIUS is the measure of any radius. Radius is usually abbreviated as. The DIAMETER.
Chapter 10.3 Notes: Apply Properties of Chords Goal: You will use relationships of arcs and chords in a circle.
RECALL: What is the formula for the area of a circle? You eat an entire pizza (8 slices) with a radius of 8inches. How much pizza (area) did you eat? If.
Circle Geometry. Definitions centre radius tangent chord diameter secant concentric circles.
Lesson 10.1 Parts of a Circle Today, we are going to… > identify segments and lines related to circles > use properties of tangents to a circle.
10.1 HW pg # 3-10, odd, 24, 27, G4. H5. C 6. E7. F8. A 9. B10. D
Circles Chapter 10 Sections 10.1 –10.7. Parts of a Circle center F Use the center to name a circle. Circle F F.
Circle Properties - Ch 6 Chord Central Angles Conjecture If two chords in a circle are congruent, then they determine two central angles that are…....congruent.
Areas of Circles and Sectors. In Lesson 10-1, you learned that the formula for the circumference C of a circle with radius r is given by C = 2πr. You.
Perimeter and Area with Circles. Circumference of a Circle Circumference is the perimeter of the circle Formula: or (for exact answers, leave π in your.
Sections Perimeter and Area with Circles.
Jeopardy Angle Relationships Circle Eqns Circle Vocab Areas of Sectors Misc. Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final.
Circles OCR Stage 6. diameter Circumference radius Tangent radius is diameter ÷ 2.
Are you ready? We heard you were going to make a few note cards - and then there might be a short quiz. Have fun!!
Sector of a Circle Section If a circle has a radius of 2 inches, then what is its circumference? What is the length of the arc 172 o around.
C HORDS, S ECANTS, AND T ANGENTS 10.1 & S ECANT A secant is a line that intersects a circle in two points. A tangent is a line that intersects the.
10.1 – Tangents to Circles. A circle is a set of points in a plane at a given distance from a given point in the plane. The given point is a center. CENTER.
10-7 Areas of Circles and Sectors Objective: To find the areas of circles, sectors and segments of circles.
7-2 Sectors of Circles Objective: To find the arc length of a sector of a circle and to solve problems involving apparent size.
Diameter Radius Circumference of a circle = or Area of a circle = r2r2.
TODAY IN GEOMETRY… Warm Up: Major and Minor Arcs Learning Target : 10.3 You will use relationships of arcs and chords in a circle. Independent practice.
Circles. Parts of a Circle Circle A circle is the set of all points in a plane that are a given distance from a given point in the plane, called the.
12.2 Chords and Arcs Theorem 12.4 and Its Converse – Theorem – Within a circle or in congruent circles, congruent central angles have congruent arcs. –
Starter Given: Circle O – radius = 12 – AB = 12 Find: OP O A B P.
Circumferences & Areas of Circles. Circle information Defn: Points on a plane that are equidistant from a given point (CENTER). Radius: From center to.
Tangents Sec: 12.1 Sol: G.11a,b A line is ______________________ to a circle if it intersects the circle in exactly one point. This point.
A circle is defined by it’s center and all points equally distant from that center. You name a circle according to it’s center point. The radius.
Lesson 8-4: Arcs and Chords 1 Lesson 8-4 Arcs and Chords.
WARM UP Find the following measures.. Section 9.4 Relationships between Arcs and Chords.
Lesson 8-1: Circle Terminology 1 Lesson 9-1 Circle Terminology.
Circle Is the set of all points equidistant from a given point called the center. The man is the center of the circle created by the shark.
1 Lesson 10.2 Arcs and Chords. 2 Theorem #1: In a circle, if two chords are congruent then their corresponding minor arcs are congruent. E A B C D Example:
Circles Chapter 9. Tangent Lines (9-1) A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point. The.
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