You will find each white and shaded area separately in each diagram. Then you will be asked to find the probability of hitting certain areas with a dart. All measurements are in centimeters. You must show your work or explain your answer to receive full credit.
Use pi (Ï€) on your calculator, NOT a rounded 3.14.
You will find each white and shaded area separately in each diagram. Then you will be asked to find the probability of hitting certain areas with a dart. All measurements are in centimeters. You must show your work or explain your answer to receive full credit.
Use pi (Ï€) on your calculator, NOT a rounded 3.14.
Use what you know about calculating area to find the geometric probabilities.
Label area calculations in units squared. For example, 24 in².
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Check your work using the answers in google classroom. Then complete the following exit ticket questions.
The radius of the small circle is 2 cm. The radius of the large circle is 9 cm.
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EXTENSION
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Question 21
21.
Question 1
1.
What is the area of the big white rectangle?
Question 2
2.
What is the area of the medium spotted rectangle?
Question 3
3.
What is the area of the small spotted rectangle?
Question 4
4.
You throw a dart, what are the chances you hit a spotted area? Show your work, then state your answer as a reduced fraction.
Question 5
5.
Find the area of the white rectangle.
Question 6
6.
Find the area of the shaded triangle.
Question 7
7.
You throw a dart, what are the chances you hit the shaded triangle? Show your work, then state your answer as a reduced fraction.
Question 8
8.
You throw a dart, what are the chances you hit any white area of the rectangle? Show your work, then state your answer as a reduced fraction.
Question 9
9.
Find the area of the shaded circle. Use the pi button on your calculator and round your answer to the nearest hundredth. Show your work.
Question 10
10.
Find the area of the white rectangle.
Question 11
11.
You throw a dart, what are the chances it hits the circle? State your answer as a percent rounded to the nearest whole number. Show your work.
Question 12
12.
You throw a dart, what are the chances it DOES NOT hit the circle? State your answer as a percent rounded to the nearest whole number. Show your work.
Question 13
13.
What is the total area of the square? Show your work.
Question 14
14.
What is the total area of the small striped bullseye circle? Round your answer to the nearest hundredth. Show your work.
Question 15
15.
What is the total area of the full dotted circle? (ignore the striped circle in the middle) Round your answer to the nearest hundredth. Show your work.
Question 16
16.
You throw a dart, what are your chances of hitting the bullseye? State your answer rounded to the nearest whole percent. Show your work.
Question 17
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You throw a dart, what are your chances of hitting the dotted circle region? Write your answer as a percent rounded to a whole number. Show your work.
Question 18
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EXTENISON: Find the area of the total green region. Show your work or explain your answer.
Question 19
19.
EXTENSION: What are the chances of hitting region 3?
Question 20
20.
EXTENSION: What are the chances of hitting region 1?
Rate your understanding on calculating geometric probabilities.