How may I derive the surface area of a cone using only algebra (no sin, cos, tan terms)?

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How may I derive the surface area of a cone using only algebra (no sin, cos, tan terms)?

A link to a good website is sufficient. =)

2006-10-17 09:31:22 · 3 answers · asked by Existentialism 2 in Science & Mathematics ➔ Mathematics

A /cone/ not a circle. =\

2006-10-17 09:39:03 · update #1

3 answers

Measure L, which is the length from the tip of the cone to the edge. Then measure C the circumferance along the edge. (Or measure the radius R at the edge, and compute C=2 times Pi times R.) Finally, multiple C by L and divide the result by 2.

Area=(L x C)/2=(L x Pi x R)=L x 3.14 x R

2006-10-17 10:03:08 · answer #1 · answered by WoodyBretton 3 · 0⤊ 0⤋

There's a great explanation of how to do this at the website linked below.

2006-10-17 16:49:04 · answer #2 · answered by just♪wondering 7 · 0⤊ 0⤋

http://www.aaaknow.com/exp612x2.htm

2006-10-17 16:33:39 · answer #3 · answered by Dana ♪ 3 · 0⤊ 2⤋