Next, place a protractor along the radius and measure a 60^(∘) angle.
Finally, we will draw a segment between the circle's midpoint and the mark.
Having sketched a picture of the spinner, we should paint the bigger region blue and the smaller region red.
b
The probability of landing on blue is the ratio of the blue region's central angle to 360^(∘).
P(blue)=300^(∘)/360^(∘)=5/6
According to the Multiplication Rule of Probability, we have to multiply the probability of landing on blue twice to obtain the probability of P(blue,blue).
To find the area of the sector, we have to multiply the area of the spinner with the ratio of the sector's central angle to 360^(∘).
A=(7)^2π (300^(∘)/360^(∘)) = 128.28cm^2
d
By multiplying the numerator and denominator of both probabilities so that the denominator equals 360^(∘), we can determine the central angle of each region.
P(purple)&=1/4 ⇔ P(purple)=90^(∘)/360^(∘) [1em]
P(yellow)&=2/3 ⇔ P(yellow)=240^(∘)/360^(∘)
The purple and yellow central angles occupy a total of 90^(∘)+240^(∘)=330^(∘) Since the spinner is 360^(∘), the green region must have a central angle of 30^(∘).
