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Chapter 11 Areas of Polygons and Circles
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Chapter 11
Areas of Polygons and Circles
11.1 Areas of Parallelograms The height is always perpendicular to the base
h
b
w
l
A = bh
A =lw
A = s2s
11.1 Areas of Parallelograms
Find the perimeter and area of
11.1 Areas of Parallelograms
Find the perimeter and area of
11.1 Areas of Parallelograms
Find the area of
11.1 Areas of Parallelograms
Find the area of the figure. Round to the nearest tenth if necessary.
11.1 Areas of Parallelograms
Find the height and base of the parallelogram if the area is 168 square units.
11.2 Areas of Triangles
h
b
b
h
A = bh2
1
11.2 Areas of TrianglesFind the area of the figure. Round to the nearest tenth if necessary.
11.2 Areas of TrianglesThe height of a triangle is 12 inches more than its base. The area of the triangle is 560 square inches. Find the base and the height.
11.2 Areas of Trapezoids
h
b1
b2
h
median
A = h(b1+b2)2
1
A =h x median
11.2 Areas of Trapezoids
Find the area of the trapeziod.
11.2 Areas of Trapezoids
Find the area
11.2 Areas of Trapezoids
Trapezoid QRST has an area of 210 square yards. Find the height of QRST.
11.2 Areas of Rhombi
A = d1d22
1
d1
d2
11.2 Areas of Rhombi
Find the area of the rhombus.
11.2 Areas of RhombiOne diagonal of a rhombus is half as long as the other diagonal. If the area of the rhombus is 64 square inches, what are the lengths of the diagonals?
11.3 Areas of Regular Polygons
Write the formula Try to find the
Perimeter Find the # of degrees
in the shape Divide by the # of sides Divide by 2*
Use sin-cos-tan to get the apothem
Substitute and solve
a
a*
*A = Pa
2
1
a = apothem
11.3 Areas of Regular Polygons
What is the area of an octagon with an apothem length of 14 inches? Round to the nearest tenth if necessary.
11.3 Areas of Regular Polygons
Find the area of the regular hexagon. Round to the nearest tenth.
11.3 Areas of Regular Polygons
Find the area of the regular pentagon. Round to the nearest tenth.
11.3 Areas of Circles and Sectors
rA = ∏r2
11.3 Areas of Circles and Sectors
Find the area of the circle.Round to the nearest tenth.
11.3 Areas of Circles and Sectors
Find the area of the semi-circle.Round to the nearest tenth.
11.3 Areas of Circles and SectorsFind the radius of a circle with an area of 58 square inches.
11.4 Composite Figures
POOL The dimensions of an irregularly shaped pool are shown. What is the area of the surface of the pool?
11.4 Composite Figures
Find the area of the shaded figure.
11.4 Composite Figures
Find the area of the figure in square feet. Round to the nearest tenth if necessary.
11.4 Composite FiguresFind the area of the figure. Round to the nearest tenth if necessary.
11.4 Composite FiguresFind the area of the shaded region. Assume that the polygon is regular. Round to the nearest tenth.
11.4 Composite FiguresFind the area of the shaded region. Assume that the polygon is regular. Round to the nearest tenth.
11.5 Geometric Probability and Areas of Sectors
r A = ∏r2360
orArc
Probability = Area of region you want
Area of whole shape/region
11.5 Geometric Probability and Areas of Sectors
Find the area of the sector.Round to the nearest tenth.
11.5 Geometric Probability and Areas of SectorsA pie has a diameter of 9 inches and is cut into 10 congruent slices. What is the area of one slice to the nearest hundredth?
11.5 Geometric Probability and Areas of Sectors
A pizza has a diameter of 14 inches and is cut into 8 congruent slices. What is the area of one slice to the nearest hundredth?
