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Circle Up Task Assessment

Geometric Standards

G-C.A: Understand and apply theorems about circles G-C.B: Find arc lengths and areas of sectors of circles
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The Library of Congress reading room has desks along arcs of concentric circles.

1. If an arc on the outermost circle with eight desks is about 12 meters long and makes  of the circle, how far are these desks from the center of the circle? Draw this situation in the applet below. Be sure to include all calculations.

2. How many desks would fit along an arc with the same central angle, but that is half as far from the center? Draw this situation in the applet below. Be sure to include all calculations.

For part (1.) and (2.), draw this situation and justify your reasoning in the applet below.