Given the circle having the equation x^2 + y^2 = 9, find a.) The shortest distance from point (4,5) to a point on the circle, and b.) The longest distance from the point (4,5) to a point on the circle.
Given the circle having the equation x^2 + y^2 = 9, find a.) The shortest distance from point (4,5) to a point on the circle, and b.) The longest distance from the point (4,5) to a point on the circle.
The point (4,5) is a distance sqrt(41) from the origin which is the centre of
the given circle.
The radius of the given circle is 3, thefore the shortest distance is sqrt(41)-3,
and the greatest distance is sqrt(41)+3.
(Draw a diagram to see how this works).
RonL