Pi Day Project

Pi Day Project

By Kevin Vo

​Goals For This Project

​After finishing this lesson you should be able to know what the circumference, area, radius, and diameter of a circle are.

​Finding the Circumference of a Circle

​You can find the circumference of a circle by multiplying the radius of a circle by 2 to find the diameter of a circle. After that, you multiply the diameter by 3.14 also known as Pi to find the circumference of the circle.

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If you are not given the measure of the radius and only the measure of the diameter you can still figure out the circumference. To figure out the circumference with the diameter of a circle you would need to multiply it by 3.14.​

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​To find the circumference of a circle, first, you'll have to know what the radius and the diameter of a circle are. The radius of a circle is the distance from the perimeter of a circle to the center of the circle and the diameter of a circle is the distance​ from the perimeter of the circle to the other side of the circle. These 2 parts of a circle are important when finding a circle's circumference.

Open Ended

Explain how to find the circumference of a circle.

Fill in the Blanks

(Calculator Recommended) What is the circumference of the circle if the radius of it is 8? Use 3.14 as Pi

Multiple Choice

You can find the circumference of a circle with only the diameter

• True

• False

Fill in the Blanks

(Calculator Recommended) What is the circumference of a circle if its diameter is 17? Use 3.14 as Pi

Multiple Select

Select All That Apply: To find the circumference of a circle you would need

• Radius

• Area

• Diameter

• I don't know

Fill in the Blanks

(Calculator Recommended) What is the circumference of a 12-inch pizza? Use 3.14 as Pi

Multiple Select

Select all the formulas that would work if you were trying to find the circumference of a circle.

• D x Pi

• R x Pi

• R² x Pi

• R(2) x Pi

Poll

How confident are you on finding the circumference of a circle

• Very Confident

• Confident

• Not Confident

• Not Confident At All

​Finding the Area of a Circle

​To find the area of a circle first you have to find the measure of the radius. If the problem doesn't give you the radius right away you can still find it if you are given the diameter of the circle, you would just need to divide the diameter of the circle by two, and then you'll have your radius.​

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After finding the radius of your circle​ you need to square your radius. Meaning to multiplying the number of your radius by itself. For example, if the radius is 4 and I square 4, that means that I would do 4 x 4.

​Next, after finding the squared radius you multiply that by 3.14 or pi and there you go! You now have found the area of your circle.

Open Ended

Explain how to find the area of a circle.

Fill in the Blanks

(Calculator Recommended) A lawn sprinkler sprays water 5 feet in every direction as it rotates. What is the area of the sprinkled lawn? Use 3.14 as Pi

Multiple Choice

What is the formula for finding the area of a circle?

• L x W x H

• Pi x r²

• L x W

• L x W/2

Fill in the Blanks

(Calculator Recommended) A semi-circle-shaped rug has a diameter of 2 feet. What is the area of the rug? Use 3.14 as Pi

Open Ended

Explain why or why not you can find the area of a circle if you are only given the diameter of the circle.

Fill in the Blanks

(Calculator Recommended) A dog is tied to a wooden fence in a backyard. His leash is 3 meters long and he runs around in circles pulling the leash as far as it can go. How much area does the dog have to run around in?

Poll

How confident are you in finding the area of a circle?

• Very Confident

• Confident

• Not Confident

• Not Confident At All

​Putting It All Together

​After learning about circles, it's time to review what we have learned.

Open Ended

Explain what the radius of a circle is and how to find the radius of a circle.

Open Ended

Explain what the diameter of a circle is and how to find the diameter of a circle.

Open Ended

Explain what the circumference of a circle is and how to find the circumference of a circle.

Open Ended

Explain what the area of a circle is and how to find the area of a circle.

​Digits of Pi

​Here are the first 150 digits of Pi, try to remember as many digits as possible before going to the next slide: 3.141592653589793238462643383279502884 197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128

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Open Ended

How many digits of Pi did you get?

​Hopefully, you have found this helpful and fun! Thanks for playing!