Section 10 3 Notes Arcs and Chords Ex

Section 10. 3 Notes: Arcs and Chords

Ex. 1: A) Jewelry A circular piece of jade is hung from a chain by two wires around the stone. JM KL and = 90ᵒ. Find.

Ex. 1: B) Add… C) Use ⨀W to find TV.

Ex. 2: A)

Ex. 2: B)

Theorem 10. 3: If a diameter (or radius) of a circle is perpendicular to a chord, then it bisects the chord and its arc. Theorem 10. 4: The perpendicular bisector of a chord is a diameter (or radius) of the circle.

Ex. 3: A) B)

Ex. 4: A) CERAMIC TILE In the ceramic stepping stone below, diameter AB is 18 inches long and chord EF is 8 inches long. Find CD.

Ex. 4: B) In the circle below, diameter QS is 14 inches long and chord RT is 10 inches long. Find VU.

Brain Break! I bet you can’t do these: • Put your arm out in front of you with your index finger extended. Try to spin your wrist slowly in one direction and your index finger in the opposite direction. • Roll your neck in one direction while at the same time moving your tongue around the inside of your lips in the other direction. • While spinning your right toe in a clockwise direction take your right hand index finger and draw the outline of a 6 in the air.

Ex. 5: A) B)

600 6 Central Angle 400 4 Sector and Sector Area 300 3 Arc and Arc Length 5 500 Chord 200 2 Circumfer ence Lightning Round 100 1 Definition of a Circle

Diameter 600 6 400 4 Arc Length Formula 300 3 Semicircle Formula for Area of a Circle 500 5 200 2 Minor Arc Lightning Round 100 1 Major Arc