Find the Area. Chord Properties and Segments Lengths in Circles.

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Presentation transcript:

Find the Area

Chord Properties and Segments Lengths in Circles

If two chords are congruent, then their corresponding arcs are congruent.

8x – 7 3x + 3 8x – 7 = 3x Solve for x. x = 2

2.Find the length of WX.

3. Find 130º 360 – divided by 2

If two chords are congruent, then they are equidistant from the center.

4. In  K, K is the midpoint of RE. If TY = -3x + 56 and US = 4x, find the length of TY. Y T S K x = 8 U R E TY = 32

If a diameter is perpendicular to a chord, then it also bisects the chord. This results in congruent arcs too. Sometimes, this creates a right triangle & you’ll use Pythagorean Theorem.

5. IN  Q, KL  LZ. If CK = 2x + 3 and CZ = 4x, find x. K Q C L Z x = 1.5

6. In  P, if PM  AT, PT = 10, and PM = 8, find AT. T A M P MT = 6 AT =

7. Find the length of CE 30 BD is a radius. CB is a radius. What is the length of the radius? 25 x Now double it to find CE. 25

8.Find the length of LN. LN = 96 x 50 MK and KL are radii. Now double it to find LN.

Segment Lengths in Circles

part Go down the chord and multiply

9 2 6 x x = 3 9. Solve for x.

10. Find the length of DB x 3x x = 4 A B C D DB = 20

11. Find the length of AC and DB. x = 8 x 5 x – 4 10 A B C D AC = 13 DB = 14

Sometimes you have to add to get the whole.

x 7(20) 4 (4 + x)= 12. Solve for x. 140 = x 124 = 4x x = 31

8 5 6 x 6(6 + 8) 5(5 + x) = 13. Solve for x. 84 = x 59 = 5x x = 11.8

4 x 8 10 x(x + 10) 8 (8 + 4) = 14. Solve for x. x 2 +10x = 96 x 2 +10x – 96 = 0 x = 6 (x – 6)(x + 16) = 0

24 12 x 24 2 =12 (12 + x) 576 = x x = Solve for x. 432 = 12x

15 5 x x2x2 =5 (5 + 15) x 2 = 100 x = Solve for x.

Practice Workbook Page 232

Homework Worksheet