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Ch 10 Question: What special properties are found with the parts of a circle? Todays Question: How do we find segment lengths in circles?
10.5 Segment Lengths in Circles
Segment Lengths in Circles Find the lengths of segments of chords Find the lengths of segments of tangents and secants
Solve for x. 12 9 x18
EAB C D EA EB = EC ED
E A B C D 7 13 4 x 7(7 + 13) 4(4 + x) = Ex: 3 Solve for x. 140 = 16 + 4x 124 = 4x x = 31
E A B C D 8 5 6 x 6(6 + 8) 5(5 + x) = Ex: 4 Solve for x. 84 = 25 + 5x 59 = 5x
E A B C EA 2 = EB EC
E A B C 24 12 x 24 2 =12 (12 + x) 576 = 144 + 12x x = 36 Ex: 5 Solve for x.
E A B C 15 5 x x2x2 =5 (5 + 15) x 2 = 100 x = 10 Ex: 6
Solve for x. 10 11 10 11 x 12 x 12
Find length of x. Find the length of g. 3x 7 5 15 8 g
A little bit of everything! Find the measures of the missing variables 9 k 10 8 a°a° r 60° 185° Solve for k first. Next solve for r Lastly solve for m a
74° 38° x° For each circle, find the measure of x
a b c d ab = cd x x = x x = x x = 1 Example 1:
Bellwork 1) (x+3)(x+7) 2) (2x+4)(x-4).
Find Segment Lengths in Circles Lesson Definition When two chords intersect in the interior of a circle, each chord is divided into two segments.
If you prefer to hear the voiceover of this lesson, go to the “Links” tab on my webpage and open up the “Segments of Circles” link.
Sec 10-6 Date: Concept: Segment Lengths in Circles
Equations of Circles. Equation of a Circle The center of a circle is given by (h, k) The radius of a circle is given by r The equation of a circle in.
Sec. 12 – 4 Measures & Segment Lengths in Circles.
10.6 Segment Lengths in Circles
Warm-up Find the measures of angles 1 – 4.
Sec. 12 – 4 Measures & Segment Lengths in Circles Objectives: 1) To find the measures of s formed by chords, secants, & tangents. 2) To find the lengths.
Test B, 100 Subtraction Facts
0 - 0.
Daily Check. Homework Review UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MMC9-12.G.C.1-5,G.GMD.1-3 Today’s.
Squares and Square Root WALK. Solve each problem REVIEW:
25 seconds left…...
UNIT 2: SOLVING EQUATIONS AND INEQUALITIES SOLVE EACH OF THE FOLLOWING EQUATIONS FOR y. # x + 5 y = x 5 y = 2 x y = 2 x y.
FACTORING Think Distributive property backwards Work down, Show all steps ax + ay = a(x + y)
Solve Multi-step Equations
Daily Check. Homework Review How do you know when two chords are congruent? LP PM ALP = BMP = 90 a.corresponding arcs are congruent A B C D M L P b.
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