Unit 6 Extra Credit

Front

What is the definition of 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 equation of a circle with center (h, k) and radius r?

Back

The equation is (x - h)² + (y - k)² = r².

Front

What is the center of the circle with equation x² + y² = 1?

Back

(0, 0)

Front

What is the radius of the circle with equation (x + 4)² + (y - 5)² = 36?

Back

6 (since radius is the square root of 36).

Front

What is the difference between a Secant and a Chord?

Back

A secant is a line that intersects a circle at two points, while a chord is a line segment whose endpoints lie on the circle.

Front

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

Back

C = 2πr, where r is the radius.

Front

What is the area of a circle?

Back

A = πr², where r is the radius.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if they intersect at a right angle (90 degrees).

Front

What is the definition of a Diameter?

Back

A diameter is a line segment that passes through the center of a circle and has its endpoints on the circle.

Front

What is the relationship between the radius and diameter of a circle?

Back

The diameter is twice the length of the radius (D = 2r).