12/3/24 Sectors, Arcs, Angles, & Tangents

Front

What is a tangent line?

Back

A tangent line is a straight line that touches a curve at a single point without crossing it.

Front

What is the measure of an angle formed by two tangents drawn from a point outside a circle?

Back

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

Front

How do you find the length of a tangent segment from a point outside a circle?

Back

The length of a tangent segment from a point outside a circle to the point of tangency is equal to the square root of the difference between the square of the distance from the point to the center of the circle and the square of the radius.

Front

What is the formula for the area of a sector?

Back

The area of a sector is given by the formula: Area = (θ/360) * πr², where θ is the angle in degrees and r is the radius.

Front

How do you calculate the perimeter of a polygon?

Back

The perimeter of a polygon is calculated by adding the lengths of all its sides.

Front

What is the relationship between the angle at the center of a circle and the angle at the circumference?

Back

The angle at the center of a circle is twice the angle at the circumference when both angles subtend the same arc.

Front

What is the formula for the circumference of a circle?

Back

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

Front

What is the measure of a central angle in a circle?

Back

A central angle in a circle is the angle whose vertex is at the center of the circle and whose sides intersect the circle.

Front

How do you find the length of an arc?

Back

The length of an arc is calculated using the formula: Arc Length = (θ/360) * 2πr, where θ is the angle in degrees and r is the radius.

Front

What is the definition of a sector in a circle?

Back

A sector is a region of a circle bounded by two radii and the arc between them.