Circle Theorems 1

In this lesson, we will learn that the angle at the centre of a circle is twice the angle at the circumference when subtended from the same arc. We will prove this result with a general case.

In this lesson, we will learn that the angle in a semicircle is 90 degrees when the angle is subtended from the diameter. We will prove this result with a general case.

In this lesson, we will learn that angles in the same segment are equal when subtended from the same chord. We will prove this result with a general case.

In this lesson, we will learn that opposite angles in a cyclic quadrilateral sum to 180 degrees. We will prove this result with a general case.