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    Unit 7 - m3 Circles Extra Points

    Uploaded by

    Olerato Ntsimane

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd

    Unit 7 - m3 Circles Extra Points

    Uploaded by

    Olerato Ntsimane
    5 views6 pages

    Original Title

    unit_7_-_m3_circles_extra_points

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    Copyright:

    © All Rights Reserved
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    5 views6 pages

    Unit 7 - m3 Circles Extra Points

    Uploaded by

    Olerato Ntsimane

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 6

    M3 Unit 7 Test: Circles Extra Points Name

    ALL WORK MUST BE SHOWN TO RECEIVE CREDIT. IF NO WORK IS NEEDED, YOU MUST WRITE A BRIEFT
    EXPLANATION AS TO HOW YOU ARRIVED AT YOUR ANSWER.

    1. The radius of circle O is 18, and OC = 13. Find AB. Round to the nearest tenth, if necessary. (The figure is not
    drawn to scale.)
    C
    A B

    2. Find the measure of BAC in circle O. (The figure is not drawn to scale.)
    A

    57º

    C
    B
    A
    3. Find m BAC in circle O. (The figure is not drawn to scale.)

    O
    

    B
    C

    4. Find the measures of the indicated angles in circle O. (The figure is not drawn to scale.)

    d 

    O
    a c b
    5. In circle O, m R = 22. Find m O. (The figure is not drawn to scale.) N

    R
    B
    Y

    6. is tangent to circle O at A. If , what is m YAC?


    (The figure is not drawn to scale.)
    O

    A C

    7. is tangent to the circle at A and is tangent to the circle at C. A


    Find m D for m B = 62. (The figure is not drawn to scale.)

    B D

    C
    8. The lines in the figure are tangent to the circle at points A and B. Find the measure of value of for
    . (The figure is not drawn to scale.)

    L P

    x
    9. The figure consists of a tangent and a secant to the circle. Find x. 7

    20
    10. The figure consists of two intersecting chords. Find x.

    10

    x
    15

    11. AB = 20, BC = 6, and CD = 8. Find x.


    x
    D
    C

    Write the standard equation for the circle.

    12. center (–6, –8), that passes through (0, 0)

    13. Find the length of . Leave your answer in terms of . X

    Y
    8m
    P

    14. Find the area of a sector with a central angle of 120° and a diameter of 9.6 cm. Round to the nearest tenth.

    15. Find the area of the shaded segment.


    A

    B
    O 9 ft
    16. is tangent to circle O at D. Find AB. Round to the nearest tenth if necessary.
    D 8
    A

    B
    15

    17. Determine whether a tangent line to circle O is shown in the diagram, for AB A B
    = 7, OB = 3.75, and AO = 8. Explain your reasoning. (The figure is not drawn
    to scale.)

    18. In circle O, CD = 56, OM = 20, ON = 16, , (The E


    figure is not drawn to scale.) C

    a. Find the radius. If your answer is not an integer, express it in radical form.
    b. Find FN. If your answer is not an integer, express it in radical form.
    N
    c. Find EF. Express it as a decimal rounded to the nearest tenth. M
    O

    F
    D

    19. Given: m X = 132, , m Y = 112. Find each measurement. (The figure is not drawn to scale.)

    a. m Z Y

    b. m
    c. m W
    d. m X
    Z

    W
    20. The diameter of a circle has endpoints P(–10, –8) and Q(4, 4).
    a. Find the center of the circle.
    b. Find the radius. If your answer is not an integer, express it in radical form.
    c. Write an equation for the circle.

    21. Find the center and radius of the circle with equation .

    22. is tangent to the circle at B. m A = 24 and (The figure is not drawn to scale.)

    a. Find x.
    B
    b. Find y. A

    x°

    y°
    C )

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