8.G.10
Use the formulas or informal reasoning to find the arc length, areas of sectors, surface areas and volumes of pyramids, cones, and spheres. For example, given a circle with a 60 central angle, students identify the arc length as 1/6 of the total circumference (1/6 = 60/360).
Example Problems
An arc subtends a central angle of radians. What fraction of the circumference is the arc?
An arc subtends a central angle of radians. What fraction of the circumference is the arc?
An arc subtends a central angle of radians. What fraction of the circumference is the arc?
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