Polygons and Circles Pre-Assessment
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____1.Find the area of the figure below:
A. / 447.22 cm2 / C. / 207.99 cm2B. / 766.19 cm2 / D. / 159.49 cm2
____2.Find the perimeter of the figure below:
A. / 54.63 cm / C. / 68.88 cmB. / 76.77 cm / D. / 91.27 cm
____3.Find the perimeter of the polygon whose vertices are: (1,6), (2,2), (6,7), (10,5), (7,-1).
A. / approximately 24 units / C. / approximately 12 unitsB. / approximately 26 units / D. / approximately 13 units
____4.Find the circumference of the circle below:
A. / 132.73 m / C. / 20.42 mB. / 530.93 m / D. / 40.84 m
Use the circle below for the next three questions.
____5.Find the area of the circle.
A. / 50.27 units2 / C. / 201.06 units2B. / 804.25 units2 / D. / 25.1 units2
____6.Find the circumference of the circle.
A. / 201.06 units / C. / 50.27 unitsB. / 12.57 units / D. / 25.13 units
____7.Write the equation of the circle.
A. / / C. /B. / / D. /
____8.Pick the best definition of a circle.
A. / A circle is all points equidistant from a given point, called the center. / C. / A circle is all points that have the same diameter, through the same point called a center.B. / A circle is two semi-circles connected together. / D. / A circle is a round figure with no sides or vertices.
____9.Find the area of the regular polygon below:
A. / 480 ft2 / C. / 240 ft2B. / 120 ft2 / D. / 360 ft2
____10.Use completing the square to translate the equation below into standard form. Then identify the center and radius of the circle.
A. /center (-4, 6) and radius 4 / C. /
center (-2, 3) and radius
B. /
center (-2, 3) and radius / D. /
center (-2, 3) and radius 4
____11.The Pentagon is a five sided building. If each side of the Pentagon is 25 feet, what is the total area of the bottom floor?
A. / 253.84 ft2 / C. / 1075.3 ft2B. / 507.69 ft2 / D. / 2150.6 ft2
____12.A stop sign is a regular octagon. What is the measure of one of its interior angles? What is the sum of its interior angles?
A. / one interior angle = 135ºsum of the interior angles = 1080º / C. / one interior angle = 180º
sum of the interior angles = 1440º
B. / one interior angle = 45º
sum of the interior angles = 360º / D. / one interior angle = 90º
sum of the interior angles = 720º
____13.What is the measure of one of the exterior angles in a regular heptagon?
A. / 154.29º / C. / 51.43ºB. / 25.71º / D. / 128.57º
____14.What is the area of the figure below?
A. / 32 cm2 / C. / 8 cm2B. / 256 cm2 / D. / 16 cm2
____15.What is the area of the figure below?
A. / 173 mm2 / C. / 713 mm2B. / 60 mm2 / D. / 600 mm2
____16.What is the perimeter of the figure below?
A. / 124 mm / C. / 137.7 mmB. / 47.7mm / D. / 149.7 mm
____17.Which geometric figure best describes the shape of a hula hoop?
A. / Octagon / C. / CircleB. / Pentagon / D. / Square
____18.Find the area of the segment in the figure below.
*Note: Image came from:
A. / 49.75 m2 / C. / 35.07 m2B. / 84.82 m2 / D. / 119.90 m2
____19.Find the value of x in the figure below. Assume lines that look like tangents are tangents.
A. / x = 2 / C. / x = 4B. / x = 12 / D. / x = 8
____20.Use the figure below to find the missing value.
A. / x = 59 / C. / x = 3.77B. / x = 29.5 / D. / x = 118
____21.Using the figure below, find the length of .
A. / / C. /B. / / D. /
____22.Find the value of x in the figure below. Assume lines that look like tangents are tangent.
A. / x = 24.375 cm / C. / x = 1575 cmB. / x = 39 cm / D. / x = 1584.4 cm
____23.Find the length of in the figure below.
A. / CD = 4.15 / C. / CD = 37.5B. / CD = 17.22 / D. / CD = 49.5
____24.Determine if is a tangent of circle O.
A. / Yes, O is the point of tangency / C. / No, is not tangentB. / Yes, A is the point of tangency / D. / cannot be determined
____25.Find the value of in the figure below.
A. / QS = 8 / C. / QS = 21B. / QS = 29 / D. / QS = 33
____26.Given , find .
A. / / C. /B. / / D. /
____27.Given , find the measure of the minor and major arc formed by the inscribed angle.
A. / The minor arc AC = 318º and the major arc AVC = 42º / C. / The minor arc AC = 42º and the major arc AVC = 318ºB. / The minor arc AC = 276º and the major arc AVC = 84º / D. / The minor arc AC = 84º and the major arc AVC = 276º
____28.If arc GF has a measure of 140° and arc FH has a measure of 110°, what type of triangle is the circumscribed triangle below?
A. / Scalene Triangle / C. / Equilateral TriangleB. / Right Triangle / D. / Isosceles Triangle
____29.Given the inscribed triangle below and , find and the measure of all three arcs formed by the triangle.
A. / , arc AB = 104°,arc AC = 180° and arc CB = 76° / C. / , arc AB = 142°,
arc AC = 180° and arc CB = 38°
B. / , arc AB = 52°,
arc AC = 180° and arc CB = 128° / D. / , arc AB = 52°,
arc AC = 90° and arc CB = 38°
____30.Using the inscribed quadrilateral below, find and .
*Note: Image taken from:
A. / and / C. / andB. / and / D. / and
____31.Given r = 1.45 cm and , find the area of the shaded region in the figure below.
A. / 2.9 cm2 / C. / 8.4 cm2B. / 5.8 cm2 / D. / 2.1 cm2
____32.Given r = 13 feet and , find the length of the arc, S, in the figure below.
*Note: Image was taken from:
A. / 17.5 feet / C. / 113.6 feetB. / 8.7 feet / D. / 454.2 feet
____33.The figures below are similar. If you know the area of the first one is 19.5 m2, what is the area of the second figure?
A. / 29.25 m2 / C. / 43.875 m2B. / 63.375 m2 / D. / 95.0625 m2
____34.In the figure below, the minor arc from A to B measures 128°. What is ?
A. / / C. /B. / / D. /
____35.Find the in the figure below.
A. / / C. /B. / / D. /