You would like to design a rug created from a semicircle and sector. Point C represents the center of the circle that is associated with the sector and point A is located at the midpoint of the diameter of the semicircle. a. You have 180 in. of decorative trim that you would like to add to the perimeter of the rug. Do you have enough material? The angle of the sector is e = 70°. C
You would like to design a rug created from a semicircle and sector. Point C represents the center of the circle that is associated with the sector and point A is located at the midpoint of the diameter of the semicircle. a. You have 180 in. of decorative trim that you would like to add to the perimeter of the rug. Do you have enough material? The angle of the sector is e = 70°. C
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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now i am trying to figure out what the area of the rug is
Transcribed Image Text:1. You would like to design a rug created from a semicircle and sector. Point C represents the center of the circle that is associated with the sector and point A is located at the midpoint of the diameter of the semicircle.
a. You have 180 in. of decorative trim that you would like to add to the perimeter of the rug. Do you have enough material? The angle of the sector is \( \theta = 70^\circ \).
The diagram below illustrates the semicircle and sector:
- The semicircle is positioned with point C at its center, and point A is at the midpoint of its diameter.
- The sector extends from point C, creating an angle \( \theta = 70^\circ \).
- The radius from point C to the edge of the semicircle forms one boundary of the sector, with the arc between these radii completing it.
- The points are labeled as A, B, and C, with A being the midpoint of diameter AC of the semicircle.
- The drawing includes dashed lines indicating the boundaries of the sector and the semicircle, and a curved line representing the arc of the sector.
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