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Chapter 11 Review - Basic Geometry

In order to prepare for the test on Chapter 11, you need to understand and be able to work problems
involving the fol lowing topics :

I. PERIMETER AND CIRCUMFERENCE:
A. Can you find the perimeter of a polygon?

Ex 1. Find the perimeter of a square whose sides are each inches long.

Ex 2. Find the perimeter of a triangle whose sides are inches, inches, and inches.

Ex 3. Find the perimeter of a rectangle that is 2.8 cm long and 2.1 cm wide.

Ex 4. Find the perimeter of this figure.

B. Can you find the circumference of a circle, given the radius or diameter. Can you find
the perimeter of a figure whose border contains part of a circle?

Ex 5. a] What does the symbol π re present ? State fraction and decimal approximations for π.
b] What is the formula for the circumference of a circle of radius r?

Ex 6. If the diameter of a circle is 21 inches, use the approximation π = 22/7 to find the
circumference of the circle.

Ex 7. If the radius of a circle is 2.50 meters, find the circumference of the circle, accurate
to one decimal place.

Ex 8. Find the perimeter of the figure below – a semicircle anchored to 3 sides of a rectangle.
Round off your answer to one decimal place.

II. AREA: Can you compute the areas of circles, rectangles, triangles and paralle lograms given
a ruler, or appropriate dimensions?

A. Can you compute the areas of rectangles, triangles and parallelograms?

Ex 9. Find the area of a square which is 6½ inches on each side.

Ex 10. Find the area of this parallelogram. The dotted line is perpendicular to the base.

Ex 11. What is the formula for the area of a triangle with base “b” and height “h”?

Ex 12. Find the area of the triangle with sides 3 m, 4 m, and 5 m shown in Ex10 above.

Ex 13. Find the area of this trapezoid. The dotted lines are perpendicular to the bases.

B. Can you find the area of a circle, given the radius or diameter. Can you find the area of
a figure whose border contains part of a circle?

Ex 14. What is the formula for the area of a circle of radius r? Use the approximation π =22/7
to find the area of a circle whose radius is 7 cm.

Ex 15. Find the area of a circle whose diameter is 9.8 cm, accurate to 1 decimal place.

Ex 16. Find the area of the shaded region below, accurate to one decimal place.

Ex 17. Find the area of the figure below – a semicircle anchored to 3 sides of a rectangle.
Use a ruler to make any necessary measurements to the nearest 0.1 cm. Round off
the answer to one decimal place.

III. VOLUME. Can you compute the volume of a rectangular prism, or cylinder, given
appropriate measurements?

Ex 18. Find the volume of a rectangular box that is 8ft. long, 6 ft. wide, and 5 ft. high.

Ex 19. Find the volume of the rectangular prism shown below.

Ex 20. Find the volume of the rectangular cylinder shown below, accurate to one decimal place.

-ANSWERS

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