Section
3.5 Measuring Perimeter and Area
The
perimeter of a polygon is the distance around the figure and may be
calculated by finding the sum of the lengths of the sides.
The
distance around a circle is called the circumference.
Perimeter
of a rectangle: P = 2L + 2W
Perimeter
of a triangle: P = a + b + c
The
distance between the center of a circle and the outside of the circle is called
the radius.
The
diameter is a line segment that passes through the center of the circle
and connects two points on the circumference.
Circumference
of a Circle: C = pd = 2pr
The
area of a region is a measurement of the amount of space occupied by a
plane figure. Area is measured in
square units.
Area of a rectangle: A = LW
Area
of a triangle: A = ½ bh
Area
of a circle: A = pr2
Examples:
Exercises
2, 6, 8, 14, 20
Section 3.6 Measuring Volume
The volume of a closed three-dimensional figure is a measure of its capacity. Volume is in cubic units.
Volume of a parallelepiped: V = LWH
Volume of a cylinder: V = pr2h
Volume of a Cone: V = pr2h/3
Volume of a Sphere: V = 4pr3/3
Examples:
Exercises: 4, 8, 10, 14, 18, 20