Try to draw 3 different geometric figures and then shade 20 % of their areas.
See solution.
Practice makes perfect
We are asked to represent a probability of 20 % using 3 different geometric figures. This means that we need to use the geometric probability and shade 20 % of the area of a figure. First, let's rewrite 20 % in a form of equivalent fractions.
20 %as a Fraction: [0.4em]
20/100, 5/25, 4/20 ,2/10, 1/5
We can divide any geometric figure into the number of parts that is in a denominator of the one of the above fractions and color the number of parts from the corresponding numerator. Let's consider an example of a pentagon. Since 20 % is equivalent to 1 5, we can divide a pentagon into 5 congruent triangles and shade 1 of them.
This triangle represents the geometric probability of 20 %. Next we can draw a square and divide it into 25 small squares. To represent the probability of 20 % we need to shade 5 out of 25 small squares.
Finally, we can represent a geometric probability of 20 % using a circle. To do this we need to calculate the measure of a central angle that corresponds to 20 %.
20 % * 360^(∘) = 72^(∘)
Therefore, the probability of 20 % corresponds to an arc with a central measure of 72^(∘).
Notice that this is only an example solution, as we could think of infinitely many examples of this probability using geometric figures.
