Unit test 100%

In circle O, AE and FC are diameters. Arc ED measures 17°. What is the measure of EFC?

253°

In quadrilateral QRST, <RST measures (5x+15°). Angle TQR measures (4x+3°). What is the measure of angle RST?

105°

Consider circle C with angle ACB measuring 3π/4 radians. If minor arc AB measures 9π inches, what is the length of the radius of circle C? If necessary, round to the nearest inch.

12 inches.

Consider circle N with radius 30 cm and θ = π/6 radians. What is the approximate length of minor arc LM? Round to the nearest tenth of a centimeter.

15.7 centimeters.

Line EF is tangent to circle G at point A. If the measure of <CAE is 95°, what is the measure of CBA?

190°

Points A, B, C, and D lie on circle M. Line segment BD is a diameter. The measure of arc CD equals the measure of arc DA. What is the measure of angle ADM?

22.5°

The face of a clock is divided into 12 equal parts. The radius of the clock face is 10 inches. Assume the hands of the clock will form a central angle. Which statements about the clock are accurate? Select three options.

1: The circumference of the clock is approximately 62.8 inches. 2: The minor arc measure when one hand points at 12 and the other hand points at 4 is 120° 3: The length of the minor arc between 6 and 7 is approximately 5.2 inches.

In the diagram of circle O, what is the measure of <ABC?

34°

QR is tangent to circle P at point Q. What is the measure of angle R?

37°

The chords intersect at point U. What is the value of Y?

6

Arc QVT measures 156°. Which statement must be true?

Angles QRT and QST both must measure 78°

Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm^2 and 155 cm^2. Which circle could represent the base of the base? Use 3.14 for π

Circle AC with a radius of 7 centimeters.

Given: Circle O; <A intercepts BC ; <D intercepts BC PROVE: <A ≅ <D Two statements are missing reasons. What reason can be used to justify both statements 2 and 3?

Inscribed angles theorem.

Which circle has a central angle that measures 40°?

The second circle. Description: It's an acute triangle with UVZ at the top left of the circle.

Angle K measures 67° and angle L measures 119°. What are the measures of angles M and N?

m < M = 113° and m < N = 61°