Inscribed Angles and Quadrilaterals in Circles (Lesson2)

Front

What is an inscribed angle in a circle?

Back

An inscribed angle is formed by two chords in a circle which have a common endpoint. The vertex of the angle is on the circle, and the sides of the angle are the chords.

Front

What is the relationship between an inscribed angle and the arc it intercepts?

Back

The measure of an inscribed angle is half the measure of the intercepted arc.

Front

What is the measure of an inscribed angle that intercepts a semicircle?

Back

The measure of an inscribed angle that intercepts a semicircle is a right angle (90 degrees).

Front

How do you calculate the measure of an angle formed by two tangents to a circle?

Back

The measure of the angle formed by two tangents to a circle is equal to half the difference of the measures of the intercepted arcs.

Front

What is a quadrilateral inscribed in a circle called?

Back

A quadrilateral inscribed in a circle is called a cyclic quadrilateral.

Front

What is the property of opposite angles in a cyclic quadrilateral?

Back

The sum of the measures of opposite angles in a cyclic quadrilateral is 180 degrees.

Front

How do you find the measure of an angle formed by a tangent and a chord?

Back

The measure of the angle formed by a tangent and a chord through the point of contact is equal to half the measure of the intercepted arc.

Front

What is the significance of the central angle in relation to inscribed angles?

Back

The central angle is twice the measure of the inscribed angle that intercepts the same arc.

Front

What is the formula for the area of a circle?

Back

The area of a circle is given by the formula A = πr², where r is the radius of the circle.

Front

What is the circumference of a circle?

Back

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.