Chapter 10 Review

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

How do you find the radius of a circle if the circumference is given?

Back

Use the formula C = 2πr, where C is the circumference and r is the radius. Rearranging gives r = C/(2π).

Front

If the circumference of a circle is 22π ft, what is the radius?

Back

11 ft

Front

What is the formula to calculate the length of an arc?

Back

Arc length = (θ/360) * 2πr, where θ is the angle in degrees and r is the radius.

Front

Calculate the length of the arc if the radius is 7 ft and the angle is 180 degrees.

Back

Length = (180/360) * 2π(7) = 7π ft.

Front

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

Back

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

Front

How do you find the value of x in a geometric figure?

Back

Use properties of angles, triangles, or other geometric relationships to solve for x.

Front

What is the formula for the area of a circle?

Back

Area = πr², where r is the radius.

Front

If the radius of a circle is 6 ft, what is the area?

Back

Area = π(6)² = 36π ft².

Front

What is the definition of a chord in a circle?

Back

A chord is a line segment with both endpoints on the circle.