Question

an ellipse of eccentricity [2sqrt(2)]/3 is inscribed in a circle and a point within the circle is chosen at random.what is the probability that the point lies outside the ellipse

Answer 1

do you recall what the eccentricity measures?

Answer 2

e = c/a .... focal length in terms of vertex length

Answer 3

yeah
its\[\sqrt{(1-\frac{ b ^{2} }{ a ^{2}}}\]

Answer 4

the area of the circle if pi a^2

Answer 5

yeah if a=b then its pia^2 then?

Answer 6

if a=b its a circle, and e=1

Answer 7

the circle that the ellipse is drawn inside of has a radius of a

Answer 8

yeah ok

Answer 9

P(inside ellipse) = area ellipse/ area circle

so 1- that is outside the ellipse