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# help

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A section is cut out of a circular piece of paper having radius four inches, as shown. Points A and B are then glued together to form a right circular cone. What is the circumference of the base of the resulting cone? Express your answer in terms of $$\pi$$. (The $$270^\circ$$ sector forms the cone.)

Jun 8, 2019
edited by Logic  Jun 8, 2019

#1
+8842
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circumference of base of cone  =  length of major arc AB

length of major arc AB  =  $$\frac{270}{360}\cdot$$ circumference of circle

length of major arc AB  =  $$\frac{270}{360}\cdot2\pi\cdot4"$$

length of major arc AB  =  $$\frac{3}{4}\cdot2\pi\cdot4"$$

length of major arc AB  =  $$6\pi"$$_

Jun 8, 2019

#1
+8842
+3

circumference of base of cone  =  length of major arc AB

length of major arc AB  =  $$\frac{270}{360}\cdot$$ circumference of circle

length of major arc AB  =  $$\frac{270}{360}\cdot2\pi\cdot4"$$

length of major arc AB  =  $$\frac{3}{4}\cdot2\pi\cdot4"$$

length of major arc AB  =  $$6\pi"$$_

hectictar Jun 8, 2019
#2
+1195
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Thank You Hectictar!

Logic  Jun 8, 2019