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Cone Net

Posted byjaehwa September 5, 2020

What is the length of a slant height of a cone when the net is given below?

A. $8 \rm cm$ A. $8 \rm cm$
B. $4 \rm cm$
C. $16 \rm cm$
D. $2 \rm cm$
E. $6\rm cm$

1. The arc length of a sector is the same as the circumference of a base circle.
So, the arc length is $2π×{3}={6}π \rm \left(cm \right)$ 2. Let $x$ $\rm cm$ be the radius of a sector.
Because the radius of a sector is the same as the length of a slant height,
$2πx×\cfrac{135}{360}={6}π$. $\;\;$ $\; x=8$
Therefore, the length of a slant height of the cone is $8 \rm cm$. No More Steps

Correct! Nice work!

Posted byjaehwaSeptember 5, 2020Posted inUncategorized

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