Question

If the length of the minor axis of an ellipse is 6 units and the length of the major axis is 10 units, how far from the center are the foci located?

Answer 1

The distance from the center to where the foci is located is 8 units

How to determine the distance

The formula associated with the focus of an ellipse is given as;

c² = a² − b²

where;

• c is the distance from the focus to center
• a is the distance from the center to a vertex , major axis is 10 units
• b is the distance from the center to a co-vertex, minor axis is 6 units

Let's use the Pythagorean theorem

Hypotenuse square = opposite square + adjacent square

Substitute the values into the formula

c² = 10² - 6²

Find the square

c² = 100 - 36

c² = 64

Find the square root

c = √64

c = 8

Thus, the distance from the center to where the foci is located is 8 units

Learn more about Pythagorean theorem here:

brainly.com/question/654982

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