Circle Unit Assessment

In the circle, draw each of the following. Label all points clearly.

1. a chord AB that is not a diameter.

2. points C and D such that an arc from C to D measures about 120 degrees.

3 . Central angle EOF that measures about 45 degrees.

Line segment BC is tangent to the circle.

What is the value of angle a + angle b?

Show/Explain your reasoning.

Tags

CCSS.HSG.C.A.2

Label the major arc CD in blue, and the minor arc CD of this circle in green.

A pedestrian underpass is constructed using a cylindrical pipe of radius 2.6 m. The bottom of the pipe will be filled and paved. The headroom at the center of the path is 3.9 m. How wide is the path to the nearest tenth of a meter?

Tags

CCSS.HSG.C.A.2

The spokes on a bicycle wheel are 20˚ apart. If the length of the tire is 2.5 inches between any two spokes, what is the radius of the wheel?

Round to the nearest hundredth.

Tags

CCSS.HSG.C.B.5

A line that touches a circle at exactly one point is called a (a)  

• tangent line
• secant line
• chord
• radius

Convert 120° to radians.

Tags

CCSS.HSF.TF.A.1

A circle has a radius of 6 cm. What is the length of an arc with a 30° central angle?

Mathematical Equivalence

ON

Tags

CCSS.HSG.C.B.5

A circle is divided into 8 congruent regions. The total area of the circle is 36π. Find the perimeter of one of these regions.

Round to the nearest whole number.

Mathematical Equivalence

ON

Tags

CCSS.HSG.C.B.5

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Set up the proportion.

​ (a)   = ​ (b)  

---

360 =​ (c)  

• 5
• 6
• 120
• x
• 8 pi
• 16 pi
• 4
• 8

Tags

CCSS.HSG.C.B.5