chapter 8 - area rectangle area conjecture the area of a rectangle is given by the formula …. a =...
TRANSCRIPT
Chapter 8 - Area
Rectangle Area Conjecture
The area of a rectangle is given by the formula ….
A = bh
C-75 p. 411
...where A is the area,
b is the length of the base, and
h is the height of the rectangle.
h
bNote: You can use this formula two ways, each one using a different side as base
Chapter 8 - Area
Parallelogram Area Conjecture
The area of a parallelogram is given by the formula ….
A = bh
C-76 p. 412
...where A is the area,
b is the length of the base,
h is the parallelogram height.
h
b
Note: You can use this formula two ways, using a different side as the base.
Chapter 8 - Area
Triangle Area Conjecture
The area of a triangle is given by the formula ….
A = 1/2 bh
C-77 p. 417
...where A is the area,
b is the length of the base, and
h is the height of the triangle.
b
h
Note: This formula can be used three different ways, each one using a different side as the base.
Chapter 8 - Area
Trapezoid Area Conjecture
The area of a trapezoid is given by the formula ….
A = 1/2 (b1+b2)h
C-78 p. 418
...where A is the area,
b1 and b2 are the lengths
of the two bases, and
h is the height of the trapezoid.b1
b2
h
Chapter 8 - Area
Kite Area Conjecture
The area of a kite is given by the formula ….
A = 1/2 d1 d2
C-79 p. 418
...where A is the area,
d1 is the length of one diagonal,
d2 is the length of the other
diagonal of the kite.
d2
d1
Chapter 8 - Area
Regular Polygon Area Conjecture
The area of a regular polygon is given by the formula …. A = 1/2
asn
C-80 p. 427
...where A is the area,
a is the length of the apothem,
s is the length of a side, and
n is the number of sides.
s
a
Chapter 8 - Area
Regular Polygon Area Conjecture, coda
The area of a regular polygon is also given by the formula ….
A = 1/2 aP
C-80 p. 427
...where A is the area,
a is the length of the apothem,
P is the perimeter.
( Note: P = sn )
a
s
Chapter 8 - Area
Pick’s Formula
If A is the area of a polygon whose vertices are lattice points,
b is the number of lattice points on the boundary of the polygon, and
i is the number of interior lattice points, then....
A =1/2 b + i -1
p. 431
Chapter 8 - Area
Circle Area Conjecture
The area of a circle is given by the formula... A = πr2
C-81 p. 434
...where A is the area and
r is the radius of the circle.
r
Chapter 8 - Area
Sector Area Formula
The area of a sector of a circle is given by the formula...
A = (x/360)πr2
Section 8-6 p. 437
...where A is the sector area,
x is the number of degrees
of the sector arc, and
r is the radius of the circle.
α
r
Chapter 8 - Area
Segment Area Formula
The area of a segment of a circle is given by the formula...
A = (x/360)πr2
Section 8-6 p. 437
...where A is the sector area,
x is the number of degrees
of the sector arc, and
r is the radius of the circle.
Chapter 8 - Area
Annulus Area Formula
The area of an annulus is given by the formula... A = π(R2 - r2)
Section 8-6 p. 437
...where A is the sector area,
R is the radius of the outer circle
r is the radius of the inner circle.
r
R