Geometry Tuesday Turn in: A#10.1 page 526 #16-45 all

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Presentation transcript:

Geometry Tuesday 5-12-15 Turn in: A#10.1 page 526 #16-45 all Today, we will… Recognize and label major and minor arcs, semicircles, and central angles Find the arc length. We will show we can do this by… Answering and asking questions Completing guided practice problems Completing the bookwork assignment To know how well we are learning this, we will look for… Correct answers It is important for us to learn this (or be able to do this) because.... Understanding the properties of circles is essential to the success in fields such as engineering, architecture, and design. Tomorrow we will… Recognize and use relationships between arcs, chords, and diameters in circles. Turn in: A#10.1 page 526 #16-45 all Discussion/Notes/Guided Practice 10.2 – Angles and Arcs Assignment: A#10.2 page 532 #14-44 even, 45, 47-50 Yesterday we… Reviewed vocab words (radius, diameter, circumference, center, and chord), identified and used these parts of circles to find missing pieces, and solved problems using the circumference

10-2 Angles and Arcs What kinds of angles do the hands of a clock form? A _____________ has the center of the circle as its vertex, and its sides contain two radii of the circle.

Sum of Central Angles

Example #1 RV is a diameter of OT

Arcs of a Circle A central angle separates the circle into two parts, each of which is an _______.

Arc Addition Postulate

Example #2

Example #3 a. Find the measurement of the central angle representing each category. b. Is the arc for the wedge named Youth congruent to the arc for the combined wedge named Other and Comfort?

Arc Length Example: