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# How to find the semi minor axis in an ellipse?

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how do i find the the distance from the origin to the endpoint of the vertical axis. Oct 9, 2019

#5
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Looks like Chris is signed off presently.....

Looking for b ?

a^2 = b^2 + c^2

a = 58  (million miles)

c = 12  (million miles)

58^2 = b^2 + 12^2

b = 57   million miles

Oct 9, 2019

#1
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I'm assuming that the  distance from the center to the focus  =  46   =  c

116/2  =  a  = 58

In an ellipse

b^2 + c^2  = a^2        ....so

b^2  = a^2  - c^2

b^2  = 58^2  - 46^2

b^2  = 3136  - 2116

b = √[ 3136 - 2116 ]  = √1020 = 2√255   Oct 9, 2019
#2
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oh no! the distance from the horizontal endpoint is 46 and for the other side its 70 miles add them together to get the full horizontal diamater 116. sorry for the confusion im not fully understanding the question to be honest. if it helps i could post the whole question.

Oct 9, 2019
#3
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Go ahead and post it.....the distance from the horizontal endpoint to where  =  46   ???   Oct 9, 2019
#4
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Here is the orignal post

https://web2.0calc.com/questions/calculus-help_15

Oct 9, 2019
#5
0

Looks like Chris is signed off presently.....

Looking for b ?

a^2 = b^2 + c^2

a = 58  (million miles)

c = 12  (million miles)

58^2 = b^2 + 12^2

b = 57   million miles

ElectricPavlov Oct 9, 2019