Use the net to derive the formula for the lateral area ofa right cone with radius r and

Chapter 10, Problem 43

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Use the net to derive the formula for the lateral area ofa right cone with radius r and slant height . a. The length of the curved edge of the lateral surface must equal the circumference of the base.Find the circumference c of the base in terms of r. b. The lateral surface is part of a larger circle.Find the circumference C of the larger circle. c. The lateral surface area is __cC times the area ofthe larger circle. Use your results from parts aand b to find __cC . d. Find the area of the larger circle. Use your result and the result from part cto find the lateral area L.

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