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)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section: Chapter Questions
Problem 1GP
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