Circles (12/02/24)

Front

What is a central angle?

Back

A central angle is an angle whose vertex is at the center of a circle and whose sides are radii that extend to the circumference.

Front

What is a secant?

Back

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

Front

If the circumference of a circle is 62.8 inches, what is the radius?

Back

The radius is 10 inches.

Front

What is the formula to calculate the circumference of a circle?

Back

The formula is C = 2πr, where C is the circumference and r is the radius.

Front

What is a major arc?

Back

A major arc is an arc that is larger than a semicircle.

Front

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

Back

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

Front

What is a chord?

Back

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

Front

What is the difference between a tangent and a secant?

Back

A tangent touches the circle at exactly one point, while a secant intersects the circle at two points.

Front

How do you calculate the length of an arc?

Back

The length of an arc can be calculated using the formula: Arc Length = (θ/360) * C, where θ is the central angle in degrees and C is the circumference.

Front

What is the radius of a circle if the diameter is 20 inches?

Back

The radius is 10 inches.