Geometry - Unit 10 Test - Review

A Circle P is shown. If m∠ADB is 25°, what is m∠APB?

• 12.5 degrees

• 25 degrees

• 37.5 degrees

• 50 degrees

In the circle below, CD and AB intersect at point E. What is the value of length ED rounded to the nearest hundredths?

• 2.54

• 1.24

• 1.73

• 3.45

A circle O, with tangent segment and secants segment PC and PB respectively, is shown. What is the value of X?

A circle O, with tangent segment and secants segment PC and PB respectively, is shown. Enter a number in each box to complete the following statements. The length of tangent segment PC is ____ cm.

A circle O, with tangent segment and secants segment PC and PB respectively, is shown. Enter a number in each box to complete the following statements. The length of secant segment PB is ____ cm.

In the figure, SQ and SR are tangents to the circle P, at points Q and R respectively. What is the m∠S?

• 36 degrees

• 45 degrees

• 144 degrees

• 72 degrees

A person is landscaping a circular flower garden. There is one last section of the garden left to be filled with stones as shown. How much stone does the person need to fill this section with the garden? Use π=3.14.

• 141.30 ft²

• 228.34 ft²

• 282.60 ft²

• 706.50 ft²

A triangle ABC is inscribed in a circle O, as shown. What is the measure of Angle A in Triangle ABC? Enter the answer in the box. ∠A = ______ degrees

A student swings a 30 centimeters-long ruler back and forth which is pivoted at one end on the desk. The ruler turns 135∘  in a swing. Assuming the arc is circular, what is the distance the tip of the ruler travels in that swing(arc length)? Enter the answer in the box, rounded to the nearest hundredth. Use 3.14 for π

In the diagram, chords AB and CD intersect at E. The measure of arc AC is 120°, the measure of arc DB is (2x)°, and the measure of ∠AEC is (4x)°. What is the measure of ∠AEC? The measure of ∠AEC is ______ degrees.