Is a Sliced Circle Segment Equivalent to Half an Ellipse?

[bananabandana]

Homework Statement

Is it true that the if you slice a circle into two segments, you can think of one of the pieces as being half an ellipse?

Homework Equations

The Attempt at a Solution

Not sure, I was just thinking about this! Not really any idea how to proceed to a solution, or how I can apply the definition of an ellipse (fixed distance from foci..) to solve.

 

[Dick]

Homework Statement

Is it true that the if you slice a circle into two segments, you can think of one of the pieces as being half an ellipse?

Homework Equations

The Attempt at a Solution

Not sure, I was just thinking about this! Not really any idea how to proceed to a solution, or how I can apply the definition of an ellipse (fixed distance from foci..) to solve.

You can think of a circle as an ellipse with both foci at the same point, if that's what you mean.

 

[Mark44]

Homework Statement

Is it true that the if you slice a circle into two segments, you can think of one of the pieces as being half an ellipse?

Homework Equations

The Attempt at a Solution

Not sure, I was just thinking about this! Not really any idea how to proceed to a solution, or how I can apply the definition of an ellipse (fixed distance from foci..) to solve.

In general, the answer is no. Circles and ellipses have different curvature, although you can think of a circle as being a special case of an ellipse (one with both foci at the same place, the center).