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).

Tags

CCSS.7.G.B.4

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.

Tags

CCSS.HSG.C.A.2

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).

Tags

CCSS.HSG.C.A.2

Front

What is the formula for the circumference of a circle?

Back

Circumference = 2πr, where r is the radius.

Tags

CCSS.7.G.B.4

Front

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

Back

Area = πr² = π(7)² = 49π cm².

Tags

CCSS.7.G.B.4

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.

Tags

CCSS.HSG.C.A.2