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1. In the diagram at the right, the segments shown are tangent to the circle. Find the value of x.

(a) 5

(b) 6

(c) 7

(d) 9

2. Given the circle at the right with designated center, designated perpendicular, and radius 5. Find the length of the segment labeled x.

(a) 4

(b) 5

(c) 8

(d)

3. Given the circle at the right with two intersecting chords.

Find the length represented as x.

(a) 2

(b) 6

(c) 8

(d) 10

4. In the accompanying diagram, tangent and secant are drawn to circle O from point A, AB = 6 and AC = 4. Find AD.

(a) 5

(b) 9

(c) 10

(d) 13

5. In the accompanying diagram of circle O, m<ABC = 2x and Find the value of x.

(a) 20

(b) 40

(c) 60

(d) 80

6. In the diagram at the right, secant intersects circle O at D, secant intersects circle O at E, AE = 4, AC = 24, and AB = 16. Find AD.

(a) 4

(b) 5

(c) 6

(d) 10

7. Given the circle at the right with diameter , find x.

[1] 30Â°

[2] 45Â°

[3] 60Â°

[4] 90Â°

8. Given a circle with the center indicated. Find x.

[1] 100

[2] 80

[3] 50

[4] 40

9. Two chords intersect within a circle to form an angle whose measure is 53Â°. If the intercepted arcs are represented by 3x + 3 and 10x - 14, find the measure of larger of these two arcs.

[1] 9

[2] 13

[3] 30

[4] 76

10. A cathedral window is built in the shape of a semicircle. If the window is to contain three stained glass sections of equal size, what is the area of each stained glass section? Express answer to the nearest square foot.

[1] 1 sq. ft.

[2] 3 sq. ft.

[3] 13 sq. ft.

[4] 26 sq. ft.

11. Given the two secants shown in the diagram at the right, find the number of degrees in the angle labeled x.

[1] 40Â°

[2] 60Â°

[3] 80Â°

[4] 140Â°

12. Given tangent to the circle shown at the right. Find the size of the arc designated by x.

[1] 25

[2] 50

[3] 100

[4] 260

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