DO NOW!
ANNOUNCEMENTS!

Turn in your homework! (3rd & 4th block only)

Quarter 4 Projects due this Friday, 5/11

Starting Unit 7 today! Test next Friday, 5/18

Tutoring Tuesday & Thursday until 3 pm

2nd Block – Remediation Program

Unit 6 Tests & Progress Reports

Must be signed by this Friday, 5/11!!
UPCOMING SCHEDULE
Unit 7 – 2 weeks
 Unit 8 – 1 week
 Review for final – 3 days
 FINALS!

SUMMER!!

LESSON 10-6: CIRCLES & ARCS
Students will find the measures of central angles
and arcs. Students will find the circumference
and arc length.

Central angle: an angle whose vertex is the
center of the circle.
TYPES OF ARCS
PRACTICE!
MEASURES OF ARCS
ARCS


Adjacent arcs: arcs of the same circle that have
exactly one point in common.
Arc Addition Postulate: the measure of an arc
formed by two smaller arcs is the sum of those
two arcs.
PRACTICE!
CIRCUMFERENCE


Circumference: distance around the circle
Pi: the ratio of the circumference of a circle to its
diameter (𝜋).

Approximately 3.14
ARC LENGTH

Arc length: fraction of the circle’s circumference
𝑎𝑟𝑐 𝑚𝑒𝑎𝑠𝑢𝑟𝑒𝑚𝑒𝑛𝑡
𝑎𝑟𝑐 𝑙𝑒𝑛𝑔𝑡ℎ =
∙ 𝐶𝑖𝑟𝑐𝑢𝑚𝑓𝑒𝑟𝑒𝑛𝑐𝑒
360
CIRCUMFERENCE & ARC LENGTH

For each problem, find:
The circumference of the circle
 The measurement of the red arc
 The length of the red arc

Leave all answers in
terms of pi!
STEP IT UP!

It is 5:00 p.m. What is the measure of the minor
arc formed by the hands of an analog clock?
INDEPENDENT PRACTICE & HOMEWORK!

Workbook page 271
#1-3 (just name 3 for each)
 #5-15 odd
 #16-17
 #23-25


14 problems total – due tomorrow!
HONORS:
INDEPENDENT PRACTICE & HOMEWORK!

Workbook page 271
#21-22
 #23-33 odd
 #38-40


10 problems total – due tomorrow!