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...
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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.
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.
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