Several different cheeses are for sale. The cheese comes in wedges shaped like sectors of a circle. All of the wedges are the same height. 1. Mai bought a wedge with a central angle of 45 degrees and radius 10 centimeters. What is the area of the top surface of this wedge? 2. Kiran bought a wedge with a central angle of radians and radius 3 inches. What is the area of the top surface of this wedge? 3. Tyler bought a wedge. He measured the arc length of the wedge to be 12 centimeters and the radius to be 8 centimeters. Priya bought a wedge that came from a circular cheese block with radius 9 centimeters. The block was cut into 6 congruent sectors. Whose wedge is larger? Explain or show your reasoning.
Several different cheeses are for sale. The cheese comes in wedges shaped like sectors of a circle. All of the wedges are the same height. 1. Mai bought a wedge with a central angle of 45 degrees and radius 10 centimeters. What is the area of the top surface of this wedge? 2. Kiran bought a wedge with a central angle of radians and radius 3 inches. What is the area of the top surface of this wedge? 3. Tyler bought a wedge. He measured the arc length of the wedge to be 12 centimeters and the radius to be 8 centimeters. Priya bought a wedge that came from a circular cheese block with radius 9 centimeters. The block was cut into 6 congruent sectors. Whose wedge is larger? Explain or show your reasoning.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 48E: When radii OA and OB are placed so that they coincide, a 240 sector of a circle is sealed to form a...
Related questions
Question
![Several different cheeses are for sale. The cheese comes in wedges shaped like sectors of a circle. All
of the wedges are the same height.
1. Mai bought a wedge with a central angle of 45 degrees and radius 10 centimeters. What is the
area of the top surface of this wedge?
2. Kiran bought a wedge with a central angle of radians and radius 3 inches. What is the area of
the top surface of this wedge?
3. Tyler bought a wedge. He measured the arc length of the wedge to be 12 centimeters and the
radius to be 8 centimeters. Priya bought a wedge that came from a circular cheese block with
radius 9 centimeters. The block was cut into 6 congruent sectors. Whose wedge is larger?
Explain or show your reasoning.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c4f92e5-c05a-424f-a0df-98a81b15e0c4%2F5067d701-4cb6-411c-a15e-1d2bb3c754d9%2Fxevft5a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Several different cheeses are for sale. The cheese comes in wedges shaped like sectors of a circle. All
of the wedges are the same height.
1. Mai bought a wedge with a central angle of 45 degrees and radius 10 centimeters. What is the
area of the top surface of this wedge?
2. Kiran bought a wedge with a central angle of radians and radius 3 inches. What is the area of
the top surface of this wedge?
3. Tyler bought a wedge. He measured the arc length of the wedge to be 12 centimeters and the
radius to be 8 centimeters. Priya bought a wedge that came from a circular cheese block with
radius 9 centimeters. The block was cut into 6 congruent sectors. Whose wedge is larger?
Explain or show your reasoning.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![PREALGEBRA](https://www.bartleby.com/isbn_cover_images/9781938168994/9781938168994_smallCoverImage.gif)
![Elementary Geometry for College Students](https://www.bartleby.com/isbn_cover_images/9781285195698/9781285195698_smallCoverImage.gif)
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![PREALGEBRA](https://www.bartleby.com/isbn_cover_images/9781938168994/9781938168994_smallCoverImage.gif)
![Elementary Geometry for College Students](https://www.bartleby.com/isbn_cover_images/9781285195698/9781285195698_smallCoverImage.gif)
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337278461/9781337278461_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill