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The central angle of this shaded sector measures 45 degrees, and the sector's area is 321 square inches. Kiran says, "We can find the area of the whole circle, the arc length of the sector, and the circumference of the circle with this information." Priya says, "But how? We don't know the circle's radius!" Do you agree with either of them? Explain or show your reasoning. Calculate as many of the values Kiran mentioned as possible.

The central angle of this shaded sector measures 45 degrees, and the sector's area is 321 square inches. Kiran says, "We can find the area of the whole circle, the arc length of the sector, and the circumference of the circle with this information." Priya says, "But how? We don't know the circle's radius!" Do you agree with either of them? Explain or show your reasoning. Calculate as many of the values Kiran mentioned as possible.

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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The central angle of this shaded sector measures 45 degrees, and the sector's area is 321 square inches. Kiran says, "We can find the area of the whole circle, the arc length of the sector, and the circumference of the circle with this information." Priya says, "But how? We don't know the circle's radius!" Do you agree with either of them? Explain or show your reasoning. Calculate as many of the values Kiran mentioned as possible.
Transcribed Image Text:The central angle of this shaded sector measures 45 degrees, and the sector's area is 321 square inches. Kiran says, "We can find the area of the whole circle, the arc length of the sector, and the circumference of the circle with this information." Priya says, "But how? We don't know the circle's radius!" Do you agree with either of them? Explain or show your reasoning. Calculate as many of the values Kiran mentioned as possible.
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