12/3 Elearning M3: Tangents of Circles

Front

What is a tangent to a circle?

Back

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

Front

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

Back

The length of the tangent segment can be found using the formula: length = √(distance from the center to the point² - radius²).

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between a radius and a tangent at the point of contact?

Back

The radius drawn to the point of contact is perpendicular to the tangent line.

Front

If two tangents are drawn from a single external point to a circle, what can be said about their lengths?

Back

The lengths of the two tangent segments are equal.

Tags

CCSS.HSG.C.A.2

Front

What is the formula for the perimeter of a quadrilateral?

Back

The perimeter of a quadrilateral is the sum of the lengths of all its sides.

Tags

CCSS.3.MD.D.8

Front

How do you calculate the perimeter of a circle?

Back

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

Tags

CCSS.7.G.B.4

Front

What is the significance of the point of tangency?

Back

The point of tangency is the point where the tangent touches the circle, and it is the only point of intersection between the tangent and the circle.

Front

What is the difference between a secant and a tangent?

Back

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

Front

How do you find the area of a circle?

Back

The area of a circle is calculated using the formula: A = πr², where r is the radius.

Tags

CCSS.7.G.B.4

Front

What is the relationship between the angles formed by a tangent and a chord through the point of contact?

Back

The angle formed between the tangent and the chord is equal to the angle in the alternate segment.

Tags

CCSS.HSG.C.A.2