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Lin and Elena are trying to find the area of the shaded sector in the image. Lin says, "We've found sector areas when the central angle is given in degrees, but here it's in radians. Should I start by finding the area of the full circle?" rad 12 Elena says, "I saw someone using the formula re where e is the measure of the angle in radians, rand is the radius. But I don't know where that came from." 1. Compare and contrast finding sector areas for central angles measured in degrees and those measured in radians. 2. Explain why the formula that Elena saw works. 3. Find the area of the sector. (in terms of m)

Lin and Elena are trying to find the area of the shaded sector in the image. Lin says, "We've found sector areas when the central angle is given in degrees, but here it's in radians. Should I start by finding the area of the full circle?" rad 12 Elena says, "I saw someone using the formula re where e is the measure of the angle in radians, rand is the radius. But I don't know where that came from." 1. Compare and contrast finding sector areas for central angles measured in degrees and those measured in radians. 2. Explain why the formula that Elena saw works. 3. Find the area of the sector. (in terms of m)

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Lin and Elena are trying to find the area of the shaded sector in the image. Lin says, "We've found sector areas when the central angle is given in degrees, but here it's in radians. Should I start by finding the area of the full circle?" * rad 12 Elena says, "I saw someone using the formula re where e is the measure of the angle in radians, r and is the radius. But I don't know where that came from." 1. Compare and contrast finding sector areas for central angles measured in degrees and those measured in radians. 2. Explain why the formula that Elena saw works. 3. Find the area of the sector. (in terms of 1) Edit View Insert Format Tools Table 12pt v Paragraph BIU A *.. >
Transcribed Image Text:Lin and Elena are trying to find the area of the shaded sector in the image. Lin says, "We've found sector areas when the central angle is given in degrees, but here it's in radians. Should I start by finding the area of the full circle?" * rad 12 Elena says, "I saw someone using the formula re where e is the measure of the angle in radians, r and is the radius. But I don't know where that came from." 1. Compare and contrast finding sector areas for central angles measured in degrees and those measured in radians. 2. Explain why the formula that Elena saw works. 3. Find the area of the sector. (in terms of 1) Edit View Insert Format Tools Table 12pt v Paragraph BIU A *.. >
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