Notes: Area of Triangles and Parallelograms 11.1
Objective: Find the areas of triangles and parallelograms
Find the perimeter and area of each polygon.
1)
3)
2)
4)
5) Find the area
6) The base of a triangle is twice its height. The area of the triangle is 36 in.2 Find the base and height.
Notes: Area of Triangles and Parallelograms 11.1
Find the value of x.
7) A  153 ft 2
Find the area of the shaded polygon.
10)
11)
8) A  528 cm 2
9) A  399 in.2
Notes: Area of Trapezoids, Rhombuses, and Kites 11.2
Objective: Find the area of trapezoids, rhombuses, and kites
Trapezoid
Rhombus
Kite
Find the area of the following figures.
1)
2)
3)
4)
5)
6)
Find the value of x.
7) A  100 yd 2
8) A  24 units 2
x
20 yd
x
Notes: Perimeter and Area of Similar Figures 11.3
Objective: Find the perimeter and area of similar figures
12 in.
8 in.
Perimeter =
Perimeter =
Area =
Area =
Use the rectangles above to answer the following questions.
1) The ratio of their sides lengths are _______________
2) The ratio of their perimeters are _________________
3) The ratio of their areas are _____________________
ABC ~ DEF
Use the triangles above to answer the following questions.
4) The ratio of their sides lengths are _______________
5) The ratio of their perimeters are _________________
6) The ratio of their areas are _____________________
Notes: Perimeter and Area of Similar Figures 11.3
Corresponding lengths in similar figures are given. Find the ratios (shaded to unshaded) of
the perimeters and areas. Find the unknown area.
7)
Ratio of perimeters =
Ratio of areas =
Finding unknown area
8)
Ratio of perimeters =
Ratio of areas =
Finding unknown area
9) The ratio of the areas of two similar figures is 25:196. Write the ratio of the lengths of
corresponding sides.
10. Use the given area to find XY.
11. Kites RSTU and VWXY are similar. The area of RSTU is 162 square feet. The diagonals of
VWXY are 32 feet long and 18 feet long. Find the area of VWXY. Then use the ratio of the areas
to find the lengths of the diagonals of RSTU.
Notes: Circumference and Arc Length 11.4
Objective: Find arc lengths and other measures
Find the indicated measure.
1) Circumference of a circle with a radius of 8 inches.
2) Radius of a circle with circumference 24 meters.
3) The exact circumference of a circle with diameter 7 feet.
4) The exact radius of a circle with circumference 20  cm.
5) Find the circumference of the circle below.
16
Notes: Circumference and Arc Length 11.4
Find the arc length of arc
6)
7)
Find the indicated measure.
8)
9) Circumference
10) Radius
11) EDF  FDG .
Find the length of
Notes: Areas of Circles and Sectors 11.5
Objective: Find areas of circles and sectors
Find the exact area of a circle with the given radius or diameter. Then find the area to the
nearest hundredth.
1) r = 6 in.
2) d = 10 ft
Find the indicated measure.
3) The area of a circle is 201 square meters. Find the radius.
4) The area of a circle is 225  square centimeters. Find the diameter.
5) Find the areas of the sectors formed by RQS .
6) Find the areas of the sectors formed by ACB .
Notes: Areas of Circles and Sectors 11.5
Find the indicated measure.
7) Area of
8) Area of
9) Radius of
10) Diameter of
Find the area of the shaded region.
11)
Notes: Area of Regular Polygons 11.6
Objective: Find areas of regular polygons inscribed in circles
1)
Identify the following.
2) center of WXYZ
3) an apothem
4) a central angle of WXYZ
5) a radius
6) mXPY
7) mXPQ
8) mPXQ
Find the measure of a central angle of a regular polygon with the given number of sides.
9) 10 sides
10) 18 sides
Notes: Area of Regular Polygons 11.6
11) A regular nonagon is inscribed in a circle with radius 4 units. Find the perimeter and
area of the nonagon.
Find the area of the polygons.
12)
13)
14)
Notes: Area of Regular Polygons 11.6
Find the area of the shaded region.
15)
16)
Notes: Use Geometry Probability 11.7
Objective: Use lengths and areas to find geometric probabilities
Find the probability that a point K, selected randomly on PQ , is on the given segment.
Express your answer as a fraction, decimal, and percent.
1) RS
2) RT
3) PR
Notes: Use Geometry Probability 11.7
Find the probability that a randomly chosen point in the figure lies in the shaded region.
4)
6)
5)