Day 4 Circles 11-3 Inscribed Angles

Warm-Up 1. Find the perimeter

2. Find x: 3. Find x:

HW Check 1. 72 2. 123. 10 4. 245. 8 6. 10.47. 8 8. BC=105,

AB=1169. 90 10. 411. ML=9, OP=18, OK=912. 110 13. 6

Central AngleHas vertex at the center of the circle.

P is the center of the circle.<TPQ is a vertex angle

Arcs: Measure of minor arc = measure of the central

angle.

Measure of major arc = 360 – minor arc

Ex 1: <BKC = 35

Find the measure of: a. Minor Arcb. Major Arc

Inscribed Angle – has a vertex on the circle! Measure of an inscribed angle = ½ its arc.

1. Find the measure ofJKL .

Opposite angles of Quadrilateral inscribed in a circle are supplementary.

11-3 Examples

Homework!