Properties of Circles

Front

What is a chord in a circle?

Back

A chord is a line segment whose endpoints lie on the circle.

Front

What is a secant in relation to a circle?

Back

A secant is a line that intersects a circle at two points.

Front

What is a tangent in relation to a circle?

Back

A tangent is a line that touches the circle at exactly one point.

Front

What is a diameter of a circle?

Back

A diameter is a chord that passes through the center of the circle, dividing it into two equal halves.

Front

If the radius of a circle is 5 cm, what is the length of the diameter?

Back

10 cm (Diameter = 2 x Radius).

Front

What is the relationship between the angles formed by a tangent and a chord?

Back

The angle formed between a tangent and a chord through the point of contact is equal to the angle in the alternate segment.

Front

If m∠DAR = 68°, what is the measure of the angle in the alternate segment?

Back

68° (The angles are equal due to the tangent-chord theorem).

Front

What is the formula for the circumference of a circle?

Back

Circumference = 2πr, where r is the radius.

Front

What is the area of a circle with a radius of 7 cm?

Back

Area = πr² = π(7)² = 49π cm².

Front

What is the relationship between the central angle and the inscribed angle that subtends the same arc?

Back

The inscribed angle is half the measure of the central angle.