Question

In this unit, you studied a handful of circle theorems. Research to find a circle theorem that wasn’t presented in this unit and describe it in detail. Then write either a two-column proof or a paragraph proof for the theorem.
Does the theorem that you proved relate to theorems that you previously studied? If so, how? How might your theorem be used in a real-world application?

Answer 1

The angle at the center of the circle is twice the angle at the circumference.

What is Circle Theorem?

The angle in a semicircle is a right angle. Angles that are in the same segment are equal.

As by theorem,

angle in a semicircle is a right angle. Angles that are in the same segment are equal.

Also, opposite angle in a cyclic quadrilateral sums to 180° and the angle between the chord and  tangent is also equal to the angle in the alternate segment.

Learn more about circles here:

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