Geometry Test Review: Finding Areas and Perimeters of Shapes, Study notes of Geometry

A test review for Chapter 11 of a Geometry course. It includes various problems that require finding the areas and perimeters of different shapes such as rectangles, trapezoids, circles, and polygons. The document also includes problems involving similar figures, sectors, and central angles.

Typology: Study notes

2021/2022

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Geometry CP Name_____________________________
Chapter 11 Test Review
Find the area of the shaded figure shown.
1. 2. 3.
4. 5. 6.
7. the height of the figure is 24 8. 9.
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Geometry CP Name_____________________________

Chapter 11 Test Review

Find the area of the shaded figure shown.

  1. the height of the figure is 24 8. 9.

Find the unknown area.

  1. Rectangles ABCD and EDGH are similar. The width of ABCD is 18 centimeters and the perimeter is 120 centimeters. The length of EFGH is 91 centimeters. Find the ratio of the area of rectangle ABCD to rectangle EDGH.
  2. Find the lengths of the bases of the trapezoid whose height is 5 meters. One base is three times as long as the other base. The area is 70 square meters.

The area of circle R is 295.52 square inches. The area of sector PRQ is 55 square inches. Find the indicated measure.

  1. Radius of circle R 15. Circumference of circle R
  2. m ̂ 17. Length of arc PQ

Find the exact area of the circle.

Find the area of the shaded region.

Find the measure of a central angle of a regular polygon with the given number of sides.

  1. 15 sides 36. 25 sides 37. 32 sides
  2. A regular octagon has a radius of 11.5 inches. What is the length of its apothem?
  3. Find the exact area of a hexagon with an apothem of 12.

In #40-43 Find the perimeter and area of the regular polygon.

    1. EXACT
    1. A regular polygon has an exterior angle measure of 20˚ and a side measure of 6 cm. What is the area of the polygon?

Find the probability that a point K, selected randomly on AE , is on the given segment.

Express your answer as a fraction, decimal, and percent.

44. AC 45. BD 46. CE 47. AD

Find the probability that a randomly chosen point in the figure lies in the shaded region.