Circles (Geo Part 2)

Front

What is a circle?

Back

A circle is a set of points in a plane that are equidistant from a fixed point called the center.

Front

What is the formula for the circumference of a circle?

Back

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

Front

What is the formula for the area of a circle?

Back

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

Front

What is a sector of a circle?

Back

A sector is a portion of a circle enclosed by two radii and the arc between them.

Front

How do you calculate the area of a sector?

Back

The area of a sector can be calculated using the formula: Area = (θ/360) * πr², where θ is the central angle in degrees.

Front

What is the relationship between the central angle and the area of a sector?

Back

The area of a sector is directly proportional to the central angle; as the angle increases, the area of the sector increases.

Front

What is the formula for the arc length of a sector?

Back

The arc length (L) of a sector is given by the formula: L = (θ/360) * 2πr, where θ is the central angle in degrees.

Front

What is the inscribed angle theorem?

Back

The inscribed angle theorem states that an inscribed angle is half the measure of the central angle that subtends the same arc.

Front

What is the relationship between angles formed by intersecting chords?

Back

The measure of an angle formed by two intersecting chords is equal to half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

Front

What is the tangent-secant theorem?

Back

The tangent-secant theorem states that if a tangent and a secant intersect at a point outside a circle, the square of the length of the tangent segment is equal to the product of the lengths of the secant segment and its external part.