

Area of a Sector
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Medium
Standards-aligned
Yessenia Rivera
Used 104+ times
FREE Resource
8 Slides • 5 Questions
1
Area of a Sector

2
Objective
Identify the formula of for finding the area of a sector
Solve for the area of a sector
3
Area of a Circle & Semicircle
Area of a full circle: πr2
Area of a semi-circle: 21πr2
4
Area of a Quarter-Circle
Area of a Quarter-circle = 41πr2
5
If I want to find the area of an part of a circle, how would I do it?
6
Area of a Sector
Area is a fractional part of a circle
To find the area of a sector: (360n)πr2
n = degrees of the central angle of the sector
r=radius
7
Example 1:
Find the area of a sector with a central angle of 40° and a radius of 12 cm.
Area of Sector = 360nπr2
n= 40 & r=12
AoS= 36040π 122
AoS= 9144π or 50.27cm2
8
Example 2
A pizza has a diameter of 12 inches and is cut into 10 equal slices. Find the area of a pizza slice, rounded to the nearest hundredth.
n= (10360) = 36° & r= 212 =6
Area of 1 slice: 36036π62
=11.309733
9
Multiple Choice
Find the area of a sector with a radius of 9ft and an angle measure of 132°
10.27ft2
93.31ft2
29.7ft2
85ft2
10
Fill in the Blanks
Find the area of the sector shown. Round to the nearest hundredth
Type answer...
11
Multiple Choice
What is the area of the shaded sector?
6.56yd2
7.49yd2
8.72yd2
12
Fill in the Blanks
Find the central angle of the sector of the circle with a radius of 12 ft and a sector area of 72 ft2
Type answer...
13
Multiple Choice
What is the formula for finding the area of a sector.
(360n)πr2
2πr
πr2
Area of a Sector

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