Quadrilaterals & Polygons
Classify the following shapes
A: Rhombus
B: Rectangle
C: Trapezoid
What are the perimeter and area ratios for shape A to shape B?
Perimeter Ratio = 2:3
Area Ratio = 4:9
Solve for x and y
x, y = 10
What is the area of a sector with a central angle of 55 degrees and a radius of 4 meters?
Area = 7.7 m2
Simplify sqrt(300)
10*sqrt(3)
Solve for x
x = 11
Solve for the missing side length
x = 20
Solve for x and y (no decimals)
x = 5(root(3))
y = 10(root(3))
Find the surface area and volume of a cylinder wit r=7.5 ft and h=9.3 ft
SA = 791.7 ft2
Vol = 1643.4 ft3
4*sqrt(5)
Calculate the area of this shape
Area = 15.6 in2
Are these two triangles similar? If so, why?
Yes, they are similar by SAS~
Solve for the missing side x (nearest 10th)
x = 26.2 m
Find the surface area and volume of a sphere with radius 10.3 cm
SA = 1333.2 cm2
Vol = 4577.2 cm3
Find the distance around the park. Use pi = 3.14 and round to the nearest 10th
Distance is 559.8 m
What is the sum of interior angles for an octogon?
1080 degrees
These figures are similar. What is the area of figure B?
Area B = 320 in2
Solve for the missing angle y (nearest 10th)
y = 58.4 degrees
A cone has a height of 8 inches and a volume of 200pi in3. What is the surface area of the cone?
SA = 226.7 in2
Area = 423.9 in2
Find the measure of angle x
x = 100 degrees
Solve for x and y (round to the nearest 10th)
x = 16.8
y = 6.7
A hawk perched in a tree 85 feet high is looking down a a chicken 45 feet from the base of his tree. What is the angle of depression the hawk is looking down from? (nearest 10th)
Angle of depression = 62.1 degrees
Calculate the volume of the following composite figure
Vol = 738 in3
Two wheels are placed next to each other. One wheel has a diameter of 28 inches and the other has a diameter of 40 inches. Both wheels are rolled 13 times. How far apart are they afterwards?
Use pi=3.14 and round to the nearest 10th
Distance = 489.8 inches between the wheels