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This page shows questions in the Geometry Circles public release module at MSDE. Geometry
"Geometry Circles"

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Expand All Official Practice Test

This is a fill in the blank question that allows you to enter only numbers.

In the following figure, a sector of a circle has a central angle of 80 degrees The area of the circle is 9π square units.

The figure shows a circle with a sector of the circle indicated. The sector has a central angle of 80 degrees. End figure description.

If the sector has an area of kπ square units, what is the value of k?

Enter your answer in the space provided.

k=

This is a fill in the blank question that allows you to enter only numbers.

A 30-inch chord in a circle is 8 inches from the center of the circle, as shown in the following figure.

The figure presents a circle. A chord, labeled 30 inches, is drawn in the circle. A perpendicular line segment, labeled 8 inches, is drawn from the center of the circle to the chord. End figure description.

What is the length, in inches, of the radius of the circle?

Enter your answer in the space provided.

inches

This is a multiple choice question that allows you to select only one option.

The following figure shows a circle that has center O, diameters line segment P S and line segment R T, and chords line segment P Q and line segment Q R.

The figure presents a circle with center, O. From the bottom of the circle, and moving clockwise, points P, Q, R, S, and T are indicated. Line segments P S, and R T, are diameters, and line segments, P Q, and Q R, are chords. End figure description.

If the measure of arc R S equals 74 degrees and the measure of arc S T equals 106 degrees, what is the measure of angle P Q R?

Select one answer.

  1. A.
    106°
  2. B.
    127°
  3. C.
    138°
  4. D.
    143°