Circles

Vocabulary

100

What is the name of a line segment that goes from the edge of a circle to the center?

Radius

200

What is the name of a line or line segment that goes from one edge of a circle to another edge without passing through the center?

Chord

300

What is the name of a line that goes from one edge of a circle to another edge, passing through the center of the circle?

Diameter

400

What do we call the distance around the outside of a circle?

Circumference.

500

What is the angle formed by two intersecting tangent lines to a circle? Hint: It is an exterior angle.

Circumscribed angle. 

Equations of Circles

100

In the standard form of the equation of a circle (x - h)^2 + (y - k)^2 = r^2, what are the coordinates of the center? 

(h, k)

200

Determine the center and radius of the following circle:   (x + 2)^2 + (y - 5)^2 = (7)^2

Center: (-2, 5)

Radius:7

300

Write the equation of a circle with center (6, -10) and radius 3.

(x - 6)^2 + (y +10)^2 = 9

400

Mr. Hvizdos claimed (x - 1)^2 + (y - 2)^2 = 16 is the equation of a circle with center (1, 2) and radius 16. Is he correct?

No, the center is correct, but the radius is 4 instead of 16.

500

What is the center of the circle with the equation x^2 + y^2 = 3?

Center: (0, 0)

Inscribed Angles; Central Angles; Arc Length; Sector Area

100

True or false: Central angles are equal to the intercepted arc and inscribed angles are half the intercepted arc. 

True

200

If a central angle is 20 degrees, then the intercepted arc is ______ and the inscribed angle is ______.

Intercepted arc = 20 degrees.

Inscribed angle = 10 degrees. 

300

Given a circle with a central angle of 60 degrees and a radius of 8 inches, find the length of the intercepted arc. Round to the nearest tenth (first decimal place).

8.4 inches

400

Given a circle with a central angle of 60 degrees and a radius of 8 inches, find the area of the sector. Round to the nearest tenth. 

33.5 inches²

500

What is the relationship between opposite angles of an inscribed quadrilateral?

Opposite angles are supplementary.

Mixed Review

100

A cylinder has a height of 10 in. and a radius of 5 in. The equation for the volume of a cylinder is (pi)(r^2)(h). What is the total volume?

785.40 cubic inches

200

Parallel lines have ______ slopes. 

Equal/same. 

300

Define alternate interior angles. 

Angles on opposite sides of the transversal and inside of the parallel lines. 

400

Sine is the ratio of ______ over ______.

Opposite over hypotenuse. 

500

Name and define one type of transformation. 

Translation, rotation, reflection, and dilation.