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Dec 25, 2015
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$100 $100 $100 $100 $100
$200
$300
$400
$500
$200 $200 $200 $200
$300 $300 $300 $300
$400 $400 $400 $400
$500 $500$500 $500
Area of Parallelograms
Areas of Triangles, trapezoids and Rhombi
Geometric Probability
Area of regular polygons and circles
Area of Irregular Figures
Area of Parallelograms for $100
Write the formula for the area of a parallelogram
Answer
Back
Area of a parallelogram:A = bh Where, b = the base of the
parallelogramh = the height of the
parallelogram
Area of Parallelograms for $200
Find the area of the following parallelogram:
Answer
Back
A = bh
b = 3.7cm; h = 7.6cm
A = 3.7cm*7.6cm
A = 28.12 cm2
Area of Parallelograms for $300
Find the area of a parallelogram with base length 10cm, slant height 12 cm and height 8cm
Answer
A = bhb = 8cm; h = 10cmA = 8cm * 10cmA = 80cm2
Back
Area of Parallelograms for $400
Find x if the area of a parallelogram equals 60, the base = 5 and height = x+7
A = bh
60 = 5*(x+7) = 5x + 35
25 = 5x
x = 5
Answer
Back
Area of Parallelograms for $500
Find the area of parallelogram ABCD if
A(1,3); B(3,3); C(7,8); D(9,8)
AnswerBase length = 3-1 = 2Height = 8-3 = 5A = bhA = 2*5 A = 10u2
Back
Area of Triangles, Trapezoids and Rhombi for $100
Find the area of the following triangle:
4m
3m5m
Area of a triangle = (1/2)b*hb = 4m; h = 3mA = (1/2)*4m*3mA = 6m2
Answer
Back
Area of Triangles, Trapezoids and Rhombi for $200
Find the area of the following Trapezoid:
Answer
Area = (1/2)h(b1 + b2)
Area = (1/2)(7in)(8in + 12in)
Area = 70in2
Back
Area of Triangles, Trapezoids and Rhombi for $300
Find the area of the following Rhombus:
AnswerArea = (1/2)d1*d2
Area = (1/2)*16*16Area = 128m2
Back
Area of Triangles, Trapezoids and Rhombi for $400
Find the area of the following figure:
12m
18m
13m6m
Area of a trapezoid = (1/2)h(b1+b2)h = 13m; b1 = 6m; b2 = 12mA = (1/2)(13)(6+12)A = 9*13 = 117m2
Answer
Back
Area of Triangles, Trapezoids and Rhombi for $500
Find the area of a rhombus with vertices at A(3,6); B(3,-2); C(0,2); and D(6,2)
AnswerArea of a rhombus = (1/2)d1*d2
d1 = 6 - -2 = 8
d2 = 6 – 0 = 6A = (1/2)*6*8A = (1/2) * 48A = 24u2
Back
Area of Regular Polygons and Circles for $100
Find the circumference of the following circle. Leave your answer in exact terms
Answer
Cirfcumference = Π*d
C = 5.7Πcm
Back
Area of Regular Polygons and Circles $200
What is the formula for the area of a regular polygon?
Answer
Back
Area of a regular polygon:A = (1/2)P*aP = perimetera = apothem
Area of Regular Polygons and Circles for $300
Find the area of a circle with diameter 10ft
A = Π*r2
r = (1/2) d = (1/2)*10ft = 5ft
A = Π * 52
A = 25 Π ft2
Answer
Back
Area of Regular Polygons and Circles for $400
Find the area of a regular pentagon that has been inscribed in a circle with radius 8.
AnswerA = (1/2)P*aP = 5(1.18*8) = 47.2a = 0.81r = 0.81(8) = 6.4A = (1/2)*47.2*6.4 = 152.928u2
See Page 611
Back
Area of Regular Polygons and Circles for $500
Find the area of a regular octagon that has been inscribed in a circle with radius 10.
AnswerA = (1/2)P*aP = 8(0.77*10) = 61.6a = 0.92r = 0.92(10) = 9.2A = (1/2)*61.6*9.2 = 283.36u2
See Page 611
Back
Area of Irregular Polygons for $100
How do you find the area of irregular polygons?
AnswerBreak them up into smaller
figures of known area.
Back
Area of Irregular Polygons for $200
Find the area of the following figure:
Area = Area of square + area of triangle
Area = 13cm * 9cm + (1/2)11*5Area = 144.5cm2
Answer
Back
Area of Irregular Polygons for $300
Find the area of the following figure:
Area = 25ft*12.9ft + (1/2)25ft*7.2ft
Area = 412.5 ft2
Answer
Back
Area of Irregular Polygons for $400
Find the area of the following figure. Assume that the ice cream is a perfect circle of diameter 6cm and the cone is a triangle and there is no overlap in areas:
10cm5cm
Answer
Area = pi*r2 + (1/2)Bh
Area = pi*9 + (1/2)(5)(10)
Area = 53.27cm2
Back
Area of Irregular Polygons for $500
Find the area of the following figure if one side of the square in the middle is 10cm and is the diameter of the semi circle:
AnswerArea = 10cm * 10cm + 2*((pi)(5)2)
Area = 257.08cm2
Back
Geometric Probability for $100
What is the formula for geometric probability? Draw a picture to demonstrate the regions.
Answer
(Area of B)/(Area of A)
Back
AB
Geometric Probability for $200
What is the area of a sector of a circle if the central angle is 25 degrees and the radius is 5cm?
Answer
A = (N/360)(pi)r2
A = (25/360)(pi)(25)
A = 5.45cm2
Back
Geometric Probability for $300
What is the area of a sector of a circle if the central angle is 31 degrees and the diameter is 7cm?
AnswerA = (N/360)(pi)r2
A = (31/360)(pi)(12.25)
A = 3.31cm2
Back
Geometric Probability for $400
Given the following regular trapezoid, find the probability of a chosen point lying in the rectangle in the middle:
Answer
Back
P = Area of rectangle/ Area of trapezoid
P = (8*7)/(0.5*7*(14+8))
P = 56/77 = 73%
Geometric Probability for $500
Given the following circle with diameter 10, find the probability of a chosen point lying inside the region bounded by arc AB with central angle 115
Answer
Back
P = Area of sector/ Area of circle
P = (115/360)(pi*25)/(25pi)
P = 32%
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