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The circumference of the circle is 50 feet .
The area of the shaded region = ________
example 1 :
The circumference of the circle is 50 feet .
The area of the shaded region = ________
C = d = 50
therefore the diameter of the circle is 50 feet.
50
50
The circumference of the circle is 50 feet .
The area of the shaded region = ________
C = d = 50
therefore the diameter of the circle is 50 feet
and the radius is 25 feet .
25
50
The circumference of the circle is 50 feet .
The area of the shaded region = ________
C = d = 50
therefore the diameter of the circle is 50 feet
and the radius is 25 feet .
25
The area of the circle = (25)2 = 625 square feet
50
50
the area of the square = 50x50 = 2500 square feet
The circumference of the circle is 50 feet .
The area of the shaded region = ________
C = d = 50
therefore the diameter of the circle is 50 feet
and the radius is 25 feet .
25
The area of the circle = (25)2 = 625 square feet
50
50
2500 square feet - 625 square feet
The circumference of the circle is 50 feet .
The area of the shaded region =(2500 - 625 ) square feet
C = d = 50
therefore the diameter of the circle is 50 feet
and the radius is 25 feet .
25
The area of the circle = (25)2 = 625 square feet
50
50
2500 square feet - 625 square feet
The circumference of the circle is 50 feet .
The area of the shaded region = ________
example 2 :
The circumference of the circle is 50 feet .
The area of the shaded region = ________
C = d = 50
therefore the diameter of the circle is 50 feet.
The circumference of the circle is 50 feet .
The area of the shaded region = ________
C = d = 50
therefore the diameter of the circle is 50 feet.
x
x
Let x = the side of the square
50
The circumference of the circle is 50 feet .
The area of the shaded region = ________
C = d = 50
therefore the diameter of the circle is 50 feet.
x
x
Let x = the side of the square
50
x2 + x2 = 502 = 2500
x2 = 1250 = the area of the square
area of circle = 625
The circumference of the circle is 50 feet .
The area of the shaded region = ________
C = d = 50
therefore the diameter of the circle is 50 feet.
x
x
Let x = the side of the square
50
x2 + x2 = 502 = 2500
x2 = 1250 = the area of the square
area of circle = 625 - area of square = 1250
The circumference of the circle is 50 feet .
The area of the shaded region =(625 - 1250) sq feet
C = d = 50
therefore the diameter of the circle is 50 feet.
x
x
Let x = the side of the square
50
x2 + x2 = 502 = 2500
x2 = 1250 = the area of the square
area of circle = 625 - area of square = 1250
example 3 :
A
B
AB = 30 feet
30
What is the SUM of the areas of the purple squares?_________
example 3 :
A
B
AB = 30 feet
30
What is the SUM of the areas of the purple squares?_________
x
x
y
y
Let x = the length of the side of the large square and let y = the length of the side of the small square
example 3 :
A
B
AB = 30 feet
30
What is the SUM of the areas of the purple squares? x2 + y2
x
x
y
y
Let x = the length of the side of the large square and let y = the length of the side of the small square
Area = x2
Area = y2
example 3 :
A
B
AB = 30 feet
30
What is the SUM of the areas of the purple squares? x2 + y2 = 302 = 900 sq ft
x
x
y
Let x = the length of the side of the large square and let y = the length of the side of the small square
Area = x2
Area = y2
y
example 4 :
7 feet
10 feet
If the area of the triangle is 14 square feet, then the area of the rectangle is ____________
example 4 :
7 feet
10 feet
If the area of the triangle is 14 square feet, then the area of the rectangle is ____________
The area of a triangle = ½ height x base
14 = ½ height x 7
28 = height x 7
4 = height
example 4 :
7 feet
10 feet
If the area of the triangle is 14 square feet, then the area of the rectangle is 10 x 4 = 40 sq ft
The area of a triangle = ½ height x base
14 = ½ height x 7
28 = height x 7
4 = height
4
