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Geometry Honors - Unit 10 Test Review (Circles w ...

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    2023 Geometry Standards
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  • In circle Z, the m∠ABC = 57°. Find the measure of minor arc AC.
    2 * 57 = 114°
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  • Given: Circle S and the measure of ∠RST = 88°. What is the measure of ∠RUT?
    88/2=44°
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  • Secants AR and LR intersect at point R. The measure of ∠ARL is 27°. What is the value of x?
    27=0.5(99-x)... x = 45
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  • A circle is shown with two secants that intersect at point R. Find the value of x, the length of AP.
    (x+6)*6=(10+8)*8... x=18
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  • Which formula would be used to calculate any missing value for the given segments?
    mx=yw *m & x must be on same side and same for w & y*
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  • Given: Circle Z with chords QL and ES. Using the information labeled on the circle, find the length of QL.
    15*18=9(x+21); x=9; QL = 9+9+21 = 39
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  • LO and SO are tangent to circle T. Find the length of LT.
    6x-5=15x-32; x=3; LT=3+7=10
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  • The circumference of circle J is 72π. What is the length of minor arc NK? Leave your answer in the form #*π.
    (145/360)*72π = 29π
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  • A section of a circular sign is shown. What is the area of this section of the sign? Round your answer to the nearest tenth.
    (92/360)(π(12)^2)=115.6
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  • What is the equation of the circle shown on the graph?
    (x+1)^2 + (y-2)^2 = 25
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  • A circle has a diameter with endpoints (−2,−3) and (6, -3). What is the equation of the circle?
    (x-2)^2 + (y+3)^2 = 16
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  • The equation of a circle is given. Determine the center of the circle and the length of the diameter.
    Center: (1, -5) Diameter: 7*2=14
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  • Jack started writing the equation of circle O as follows. He knows that a point with coordinates (2, 10) lies on circle O. What number should Jack place in the blank to finish writing the equation?
    52
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  • Circle G has a center at (7, 5) and a diameter of 12 units. Which point lies on circle G?
    b) (13, 5)
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  • Which one of the following sets of numbers could represent the three sides of an acute triangle?
    d) 8^2 + 13^2 > 20^2
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  • What is the sum of the exterior angles of a convex polygon with 45 sides?
    360 (EXTERIOR ANGLES ALWAYS SUM TO 360)
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