1. Warm-Up
A circle has a diameter of 10 in. What is the arc length in radians of a sector with 135°? What is the arc length in radians of a sector with 95°?
The circle has a circumference of 36π feet. If a degree measure is ⅘π, what is the measure of the minor arc?

2. Day 28 – Area of a Circle, a Sector & a Segment
Analytic Geometry for College Graduates
#Doyouhavegrit

3. 2 Types of Answers Exact Rounded Pi will be in your answer
Type the Pi button on your calculator
Toggle your answer
Do NOT write Pi in your answer
Exact
Pi will be in your answer

4. The amount of space occupied.
Area
The amount of space occupied. r
A= pr2

5. Find the EXACT area.
r = 29 feet
d = 44 miles

6. Ex 3 & 4. Find the area. Round to the nearest tenths.
53 cm
7.6 yd

7. Sector
the region bounded by two radii of the circle and their intercepted arc.

8. Area of a Sector

9. Find the area of the sector to the nearest hundredths.
Example 5
Find the area of the sector to the nearest hundredths. R
6 cm
60  Q
A  cm2

10. Find the exact area of the sector.
Example 6
Find the exact area of the sector.
6 cm
120
7 cm Q R 

11. Working Backwards

12. Ex 7 Find the radius of the circle if the area of the circle is 225 cm2.

13. Ex 8 Find the radius. Round to the nearest hundredth.
100◦

14. Ex 9 Find the radius. Round to the nearest hundredth.
80◦ 

15. Area of a Segment

16. Ex. 10
Find the area of the segment to the nearest hundredths.

17. Ex. 11
Find the area of the segment to the nearest hundredths.

18. Classwork
Worksheet
Omit #10