Special Parallelograms — Unit test Answers

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A circle is shown. 2 radii with length 8 inches are drawn. A line connects the radii points on the circle to form a triangle. The angle between the 2 radii is 90 degrees. The area between the triangle and the outline of the circle is shaded.

Question illustration
A
(16π – 32) in2
B
(16π – 8) in2
C
(64π – 32) in2
D
(64π – 8) in2
2
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A composite figure is comprised of a semicircle, trapezoid, and 2 rectangles.

Question illustration
A
as a circle, three rectangles, and a triangle
B
as a circle, a trapezoid, and four triangles
C
as a semicircle, three rectangles, and a square
D
as a semicircle, a trapezoid, and two rectangles
3

A smaller triangle is cut out of a larger triangle. The larger triangle is a right triangle with side lengths of 5 millimeters and 12 millimeters. The smaller triangle has side lengths of 4 millimeters and 3 millimeters.

Question illustration
A
21 mm2
B
24 mm2
C
42 mm2
D
48 mm2
4

A semicircle with a diameter of 8 meters is shown. A smaller semicircle with a diameter of 4 meters is cut out of the larger semicircle. A rectangle with side lengths of 2 meters and 5 meters is connected to the semicircle.

Question illustration
A
(6π + 10) m2
B
(10π + 10) m2
C
(12π + 10) m2
D
(16π + 10) m2
5

A trapezoid has base lengths of 12 centimeters and 13 centimeters. The other sides have lengths of 5 centimeters and 10 centimeters. A rectangle with side lengths of 2 centimeters and 5 centimeters is connected to the side with length 10 centimeters.

Question illustration
A
70 cm2
B
100 cm2
C
105 cm2
D
130 cm2
6

A carpenter is making a wooden window frame that has a width of 1 inch.

Question illustration
A
5.5 + 106 square inches
Option A
B
5.5 + 116 square inches
Option B
C
5.5 + 153 square inches
Option C
D
5.5 + 162 square inches
Option D
7

Question text not available

Question illustration
A
as two triangles, two rectangles, and two semicircles
B
as a trapezoid, a rectangle, and two semicircles
C
as a regular hexagon, a rectangle, and two squares
D
as a trapezoid, a rectangle, and two squares
8

Four circles, each with a radius of 2 inches, are removed from a square.

Question illustration
A
(16 – 4π) in.2
B
(16 – π) in.2
C
(64 – 16π) in.2
D
(64 – 4π) in.2
9

A circle is inscribed in a regular hexagon with side length 10 feet. What is the area of the shaded region?

Question illustration
A
(150 – 75π) ft2
Option A
B
(300 – 75π) ft2
C
(150 – 25π) ft2
Option C
D
(300 – 25π) ft2
10

A square is inscribed in a circle of diameter 12 millimeters. What is the area of the shaded region?

Question illustration
A
(72π – 144) mm2
B
(72π – 72) mm2
C
(288π – 288) mm2
D
(288π – 144) mm2

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