Unit 9 – Day 4 Homework Assignment
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Transcript of Unit 9 – Day 4 Homework Assignment
Unit 9 – Day 4 Homework Assignment1. Read through and take notes from the
following slides
2. Write down any questions you have while reading
– Things you don’t understand– Definitions that sound confusing– etc
3. Write down and attempt to solve each example problem
– Leave yourself room to show work
Arc Length and Sector Area7-7 and 7-8
Today’s Objective
› Students will be able to calculate the length of an arc and the area of a sector.
7-6 Arc Length
› Review: The Circumference is the distance around a circle. – C=2πr or C=πd
› Definition: The Arc Length is the distance around an arc (a fraction of the circumference)
› Arc length is DIFFERENT from Arc Measure****
Arc Length: is a fraction of a circle’s circumference (in terms of pi)
Arc Measure: is equal to the central angle (in terms of degrees)
Example
› Find the LENGTH of arc AB
Ex 2: Find the length of arc ADB
Example 4
› The area of a circle is 100 cm2. Find the length of an arc of 75o
7-7 Sector Area
› Review: The Area of a circle is π*r2
› Definition: A Sector is a region bounded by an arc and two radii
› The area of the sector is 75π cm and AB = 10 cm. What is the measure of <CAB?
C
A
B
Segment of a Circle
Is a part of a circle bounded by an arc and the segment joining its endpoints
Area of a Segment
Finding the Area of a Segment of a Circle
Ex 1: Find the area of the segment:
Ex 2:
Example: Find the area of the shaded region
12cm
Challenge Find the area of the green figure.
Bring Questions to Class
› QUIZ TOMORROW!