bellwork: what is the formula for a) the circumference of a circle and b) the area of a circle? what...
TRANSCRIPT
![Page 1: Bellwork: What is the formula for a) the circumference of a circle and b) the area of a circle? What is the area of a circle with circumference 18 cm?](https://reader035.vdocuments.net/reader035/viewer/2022062314/56649f135503460f94c27f7b/html5/thumbnails/1.jpg)
Bellwork:
What is the formula for a) the circumference of a circle and b) the area of a circle?
What is the area of a circle with circumference 18 cm?
What is area of 1/3 of that circle?
![Page 2: Bellwork: What is the formula for a) the circumference of a circle and b) the area of a circle? What is the area of a circle with circumference 18 cm?](https://reader035.vdocuments.net/reader035/viewer/2022062314/56649f135503460f94c27f7b/html5/thumbnails/2.jpg)
11.6 Areas of Circles, Segments and Sectors
Students will be able to find the areas of circles, segments & sectors of circles.
![Page 3: Bellwork: What is the formula for a) the circumference of a circle and b) the area of a circle? What is the area of a circle with circumference 18 cm?](https://reader035.vdocuments.net/reader035/viewer/2022062314/56649f135503460f94c27f7b/html5/thumbnails/3.jpg)
Definition: Sector (Toolbox – back of paper!)
A sector of a circle is a region bounded by two radii of the circle and the arc intercepted by those radii.
![Page 4: Bellwork: What is the formula for a) the circumference of a circle and b) the area of a circle? What is the area of a circle with circumference 18 cm?](https://reader035.vdocuments.net/reader035/viewer/2022062314/56649f135503460f94c27f7b/html5/thumbnails/4.jpg)
Definition: Segment (Toolbox—back of paper!)
A segment of a circle is the region bounded by a chord and its minor (or major) arc.
![Page 5: Bellwork: What is the formula for a) the circumference of a circle and b) the area of a circle? What is the area of a circle with circumference 18 cm?](https://reader035.vdocuments.net/reader035/viewer/2022062314/56649f135503460f94c27f7b/html5/thumbnails/5.jpg)
Think about it!
Find the area of a circle with diameter 16 cm.
What would be the area of a sector of the circle above if the angle between the two radii of the sector was 90 degrees?
Draw the picture here:
![Page 6: Bellwork: What is the formula for a) the circumference of a circle and b) the area of a circle? What is the area of a circle with circumference 18 cm?](https://reader035.vdocuments.net/reader035/viewer/2022062314/56649f135503460f94c27f7b/html5/thumbnails/6.jpg)
Sector Area
Write a proportion or formula for finding the sector area.
![Page 7: Bellwork: What is the formula for a) the circumference of a circle and b) the area of a circle? What is the area of a circle with circumference 18 cm?](https://reader035.vdocuments.net/reader035/viewer/2022062314/56649f135503460f94c27f7b/html5/thumbnails/7.jpg)
Give this one a shot!
Tom has ordered a 20 inch pizza. If he ate 40 degrees of the whole pizza. How much in square inches of the pizza did he eat?
![Page 8: Bellwork: What is the formula for a) the circumference of a circle and b) the area of a circle? What is the area of a circle with circumference 18 cm?](https://reader035.vdocuments.net/reader035/viewer/2022062314/56649f135503460f94c27f7b/html5/thumbnails/8.jpg)
How would you find this area?
Find the area of the segment (that is the shaded region).
Hint: Thinking caps
required!
![Page 9: Bellwork: What is the formula for a) the circumference of a circle and b) the area of a circle? What is the area of a circle with circumference 18 cm?](https://reader035.vdocuments.net/reader035/viewer/2022062314/56649f135503460f94c27f7b/html5/thumbnails/9.jpg)
Segment Area
Describe in words how one would find the segment area:
![Page 10: Bellwork: What is the formula for a) the circumference of a circle and b) the area of a circle? What is the area of a circle with circumference 18 cm?](https://reader035.vdocuments.net/reader035/viewer/2022062314/56649f135503460f94c27f7b/html5/thumbnails/10.jpg)
This one will be no problemo!
Find the area of the shaded region.
![Page 11: Bellwork: What is the formula for a) the circumference of a circle and b) the area of a circle? What is the area of a circle with circumference 18 cm?](https://reader035.vdocuments.net/reader035/viewer/2022062314/56649f135503460f94c27f7b/html5/thumbnails/11.jpg)
Homework
Pg. 539 # 3 , 4, 9 -11, 12a, 14 a, d and f, 15, 18a
Extra Credit: A
complete written
solution to # 22
![Page 12: Bellwork: What is the formula for a) the circumference of a circle and b) the area of a circle? What is the area of a circle with circumference 18 cm?](https://reader035.vdocuments.net/reader035/viewer/2022062314/56649f135503460f94c27f7b/html5/thumbnails/12.jpg)
How about this one?
Find the area of the shaded region.