Geometry - Circles Test

WZ and XR are diameters of circle C. What is the measure of ZWX?

B) 230°

Circle O is shown below. 67° What is the measure of angle BAC?

C) 56.5°

Find AB. Round to the nearest tenth if necessary. 14 6

D) 11.3

In the circle m∡S=33°, mRS=120°, and RU is a tangent. What is m∡U?

D) 27°

If mAB=50° and mCD=24°, what is the value of x? The figure is not drawn to scale.

C) x=37°

A manufacturer is designing a two-wheeled cart that can maneuver in tight spaces. On one test model, the wheel placement (center) and the radius are modeled by the equation (x-4)^2+(y+1.5)^2=4. Which graph shows the position and radius of the wheels?

B) (put the equation in demos to make sure its still the same, the center is at ~(4,-2) and the radius is ~2)

JK, KL, and LJ, are all tangent to circle O. The diagram is not drawn to scale. If JA=12, AL=15, and CK=5, what is the perimeter of ∆JKL?

B) 64

AC is tangent to circle O at A. If mBY=52°, what is m∡YAC?

B) 64°

In the circle, NA≅PA, MO⊥NA, RO⊥PA, and MO=20 ft. What is PO?

A) 10 ft.

AB is tangent to circle O at B. If AB=9 and AO=21.6, what is the length of the radius (r)? Round the answer to the nearest tenth.

A) 19.6

The farthest distance a satellite signal can directly reach is the length of the segment tangent to the curve of Earth's surface. If the angle formed by the tangent satellite signals is 154°, what is the measure of the intercepted arc on Earth?

A) 26°

Kn the circle, mBC=66°. What is m∡BCP?

A) 33°

AB is tangent to circle O at A. If AO=24 and BC=27, what is AB?

A) 45

A circle with radius x is shown below. 21 5 What is the value of x? Round the answer to the nearest tenth.

A) x=11.6

A circle with two chords is shown below. 12 9 21 What is the value of x? Round the answer to the nearest tenth.

A) x=15.8

The radius of circle O is 28, and OC=9. What is the length of AB? Round the answer to the nearest tenth.

B) 53.0

Circle O is shown below. If m∡R=28°, what is m∡O?

C) 56°

In the circle, AB=34, BC=12, and CD=8. The diagram is not drawn to scale.

A) x=61

Assume that lines that appear to be tangent are tangent. O is the center of the circle. The diagram is not drawn to scale, If m∡P=26°, what is the value of x?

A) x=64°

In circle O, BC=14 and DC-25. What is the length of diameter BA? Round the answer to the nearest tenth.

D) 30.6