Geometry Circles Review

A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's area?

• 31.25 m²
• 29.55 m²
• 30.36 m²
• 28.26 m²

Find the area of the shaded sector of circle O.  The radius is 6 inches and the central angle is 100°.  Express answer to the nearest tenth of a square inch.

• 9.2 sq. in.
• 10.5 sq. in.
• 31.4 sq. in.
• 38.2 sq. in.

Which angles are congruent?

• <ACB = <ADB
• <ADB=<AEB
• <AEB=<ACB
• <ACB = <ADB = <AEB

If a  quadrilateral is inscribed in a circle, then its ____angles are _____.

• adjacent; complementary
• opposite; complementary
• adjacent; supplementary
• opposite; supplementary

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

• 5
• 9
• 8
• 6

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees.  What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

• 40
• 35
• 55
• 69

Solve for a.

• 6
• 6.67
• 8.33
• 10

Angle x=?

• 36 degrees
• 54 degrees
• 90 degrees
• 108 degrees

Angle x=?

• 45 degrees
• 60 degrees
• 90 degrees
• 180 degrees

Arc AD is 200 degrees and Arc BC is 120 degrees.  What is the measure of angle x?

• 120 degrees
• 200 degrees
• 110 degrees
• 160 degrees