Geometric Probability
how do we find geometric probability relating to area
partial area/entire area
If the length ratio between two similar shapes is 7:13. What is the perimeter ratio
7:13
What the formula for area of a trapezoid
A= (h(b1+b2))/2
How to we find area of a circle
A = pi(r^2)
What is the area of a parallelogram with height of 4 and base of 15
60 units squared
How do we find the geometric probability relating to length
partial length/entire length
What is the relationship between similar shapes for length ratio, perimeter ratio, and area ratio if the length ratio is A:B?
If Length = A:B
Perimeter Ratio = A:B
Area Ratio = A^2:B^2
Find the area of a kite with diagonals of 6 and 11.
A = 33 Units squared
What is the circumference in terms of pi of a circle with diameter 12
12pi
Find the area of a triangle with height 9 and base 15
135 units squared
On a line that's 15 inches long, what's the probability that a point wont land on a 3 inch section
12/15 or 4/5
If the perimeter ratio of a two similar shapes is 9:5, what is the area ratio?
81:25
Find the area of a regular octagon with a side length of 10 and an apothem of 12.1
484 units squared
find the area of a circle with diameter 6 in decimal form
28.3 units squared
find the area of a trapezoid with height 6 in and bases 9 in and 14 in
69 inches squared
If a mouse is in a box that's 14 by 17 inches, what are the odds that it stops in a 3 by 4 square?
12/238 or 6/119
Give the length, perimeter and area ratio of two similar rectangles with dimensions of 6 by 7 and 9 by 10.5
length ratio = 2/3
perimeter ratio = 2/3
area ratio = 4/9
The area of the side of a shed is 144 ft squared. The base is 4 times the height. What is the base and height?
h = 6 ft
b = 24 ft
Find the area of a sector whose degree is 120 of a circle with radius 11
40.3 pi or 126.7
the area of a triangular window is 23.7 ft squared and the base of the window is 6 ft long. What is the height?
7.9
you are dropped into a 20 by 42 ft room with a circular pool in the middle. The radius of the pool is 8. What is the probability that you would be dropped into the pool. Give me the probability as a decimal and a percent
0.24 or 24%
If the area of 1 shape is 25 and the area of a similar shape is 64. What is the length ratio of the two shapes. (small to big)
5:8
Find the area of a circle if it has a sector with area 20 and degree 60
120 units squared
Find the radius of circle whose circumference is 30pi
r=15
if the area of a kite is 64 units squared and 1 diagonal is 16, what is the other diagonal?
8