AnswersECASD - Geometry A - CRArea of Composite Figures

Area of Composite Figures — Unit test Answers

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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
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A square is inscribed in an equilateral triangle that is inscribed in a circle.

Question illustration
A
area of the circle – area of the square – area of the triangle
B
area of the triangle – area of the square + area of the circle
C
area of the triangle + area of the square + area of the circle
D
area of the circle – area of the triangle + area of the square
23

The area of the regular hexagon is 10.4 in.2.

Question illustration
A
1.3 in.
B
1.7 in.
C
2.0 in.
D
3.4 in.
24

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
25

Which expressions represent the area of the entire shaded region, including the light and dark shading? Select three options.

A
12a cm2
B
2b cm2
C
(6a – b) cm2
D
(12a + 2b) cm2
E
(6a + b) cm2

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