Transcript Document

Find the area of a rectangle
whose dimensions are
Find the area of a rectangle
whose dimensions are 5  3
3
5
Find the area of a rectangle
whose dimensions are 5  3
3
5
Find the area of a rectangle
whose dimensions are 5  3
3
5
15 square units
It takes 15 1x1 tiles to
cover the rectangle.
Find the area of a rectangle
whose dimensions are 5  3
W3
5
L
Area = Length x Width
A = LW
15 square units
It takes 15 1x1 tiles to
cover the rectangle.
Find the perimeter of a rectangle
whose dimensions are 5  3
W3
5
L
“measure”
Find the perimeter of a rectangle
whose dimensions are 5  3
W3
5
L
“around”
Find the perimeter of a rectangle
whose dimensions are 5  3
W3
5
L
Find the perimeter of a rectangle
whose dimensions are 5  3
W3
5
5
L
Find the perimeter of a rectangle
whose dimensions are 5  3
W3
5+3
5
L
Find the perimeter of a rectangle
whose dimensions are 5  3
W3
5+3+5
5
L
Find the perimeter of a rectangle
whose dimensions are 5  3
W3
5+3+5+3
5
L
Find the perimeter of a rectangle
whose dimensions are 5  3
W3
5+3+5+3
5
L
Perimeter = Length + Width + Length + Width
P = 2L + 2W
The DIAMETER is the
measure across the circle
The DIAMETER is the
measure across the circle
through the center
The DIAMETER is the
measure across the circle
through the center
The RADIUS is the measure from
the center to any point on
the circle
The diameter = 2 times the radius
d = 2r
Wrap the diameter around the circle
The diameter fits 3 times plus
a little extra.
The number  is the exact number
of “diameters” needed to complete
the circle.  is approximately 3.14
The measure around the circle (perimeter) is called the circumference.
The diameter fits 3 times plus
a little extra.
The number  is the exact number
of “diameters” needed to complete
the circle.  is approximately 3.14
The measure around the circle (perimeter) is called the circumference.
The circumference =  times the diameter. C =  d
The diameter fits 3 times plus
a little extra.
The number  is the exact number
of “diameters” needed to complete
the circle.  is approximately 3.14
The are of a circle is the number of
square units needed to fill the circle.
The following formula gives the
area of a circle:
A =r2
example:
A circle whose radius is 3 units has area 9   28.26 square units
<a href =
http://www.education2000.com/demo/demo/botchtml/areacirc.htm
></a>
Check the web page above to see a visual proof of the area formula
example:
The circumference of the circle is 10 
What is the area of the shaded region?______
The circumference of the circle is 10 
What is the area of the shaded region?______
C=d
10
d = 10
r=5
The circumference of the circle is 10 
What is the area of the shaded region?______
10
the area of the
square is 100
5
The circumference of the circle is 10 
What is the area of the shaded region?______
10
the area of the
square is 100
-
the area of the
circle is 25 
5
The circumference of the circle is 10 
What is the area of the shaded region?______
(100 – 25 ) square units
100 – 78.5 = 21.5 square units
10
the area of the
square is 100
-
the area of the
circle is 25 