AnswersECASD - Geometry A - CRArea of Composite Figures

Area of Composite Figures — Unit test Answers

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A semicircle with diameter 8 inches is connected to a triangle with a base length of 8 inches. The height of the triangle is 3 inches.

Question illustration
A
(8π + 6) in.2
B
(8π + 12) in.2
C
(8π + 18) in.2
D
(8π + 24) in.2
2
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The owner of a minigolf course is replacing the artificial grass on a portion of the course. The area to be replaced is shown in the diagram.

Question illustration
A
8π + 180
B
16π + 180
C
8π + 228
D
16π + 228
3

Which statements about the octagon are true? Select two options.

A
The length of segment YZ is 15.3 cm.
B
The measure of the angle formed by the radius and the apothem is 30°.
C
The length of segment XY can be found by solving for a in 202 – 7.652 = a2.
D
The length of segment WZ is 20 cm.
E
The measure of the central angle, ∠ZXW, is 45°.
4

Complete the steps, which describe how to find the area of the shaded portion of the circle.

Question illustration
A
length of the radius
B
length of the diameter
C
measure of the central angle
D
circumference of the circle
5

A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm.What is the approximate area of the heptagon rounded to the nearest whole number? Recall that a heptagon is a polygon with 7 sides.

A
1,173 cm2
B
2,125 cm2
C
2,359 cm2
D
4,250 cm2
6

A regular hexagon is shown.

Question illustration
A
4 in.
B
5 in.
C
9 in.
D
11 in.
7

A composite figure is comprise of a semicircle, a hexagon, and a rectangle.

Question illustration
A
as a circle, two trapezoids, and a rectangle
B
as a semicircle, a pentagon, and two triangles
C
as a semicircle, a hexagon, and a rectangle
D
as a circle, six triangles, and a rectangle
8

A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm.

Question illustration
A
224 cm2
B
336 cm2
C
448 cm2
D
672 cm2

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