HonorsGeometry
Chapter11TestReviewQuestions
1. Find the area of an equilateral triangle that has sides that measure 12 11 .
2. A rotor of a Wankel automotive engine has the geometric shape shown. The center of each arc is the
opposite vertex of the equilateral triangle.
a. Find the figure's area
b. Find the figure's perimeter
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HonorsGeometry
Chapter11TestReviewQuestions
3. Find the perimeter and area of the rhombus below:
25
14
4. Find the area of the shaded region:
4
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HonorsGeometry
Chapter11TestReviewQuestions
5. Find the area of the shaded region (assume all divisions of the diameter are equal):
12
6. Find the area of the shaded region (if the triangle is equilateral):
8
8
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8
8
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HonorsGeometry
Chapter11TestReviewQuestions
7. Find the area of the shaded region if the triangle is equilateral and the circle is inscribed in the triangle
and measurements are in inches.
18
8. On the target, the radius of the bull's-eye is 3 cm and each band is 3 cm wide.
a. Find the total shaded area to the nearest square centimeter.
b. Find the area of the unshaded bands to the nearest square centimeter.
c. What is the probability that if you hit the target, you will get a bull's-eye?
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HonorsGeometry
Chapter11TestReviewQuestions
9. Find the area of an isosceles trapezoid with bases of length 6 and 10 and largest angle of 120°.
10. The span (twice the apothem) of a regular hexagon is 7. Find the perimeter and area of the hexagon.
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HonorsGeometry
Chapter11TestReviewQuestions
11. Find the apothem of an equilateral triangle whose area is
25 3
inches.
16
12. Find the area of a triangle with sides that measure 5, 6, and 9.
13. Find the area of the quadrilateral shown.
3
2
1
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HonorsGeometry
Chapter11TestReviewQuestions
14. BC is tangent to
O at point C. Find the shaded area.
O
D
C
12 6
B
15. Each arc is centered at the third vertex of an equilateral triangle formed using the side of the given triangle
as one side. Find the shaded area.
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HonorsGeometry
Chapter11TestReviewQuestions
16. A has an area of 200! in2 and
the diameter of B.
B has a circumference of 40! in. Find the ratio of the diameter of
A to
17. Find the ratio of the area of the whole figure to the shaded region.
5
2
3
18. Find the ratio of the area of the whole figure to the shaded region.
5
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HonorsGeometry
Chapter11TestReviewQuestions
19. Square ABCD has sides of length s. X & Z are midpoints of DA and CB, respectively. Circular arcs DY &
BY have centers X & Z, respectively. Determine the area of the shaded region in terms of s.
D
X
A
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C
Y
Z
B
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