**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**