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5. For each quantity, decide whether circumference or area would be needed to calculate it. Explain or show your reasoning.

a. The distance around a circular track.
b. The total number of equally-sized tiles on a circular floor.
c. The amount of oil it takes to cover the bottom of a frying pan.
d. The distance your car will go with one turn of the wheels.
E. The amount of frosting on the top of a cookie.
F. The amount of tile needed to cover the bottom of a circular pool.

User Bleakley
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1 Answer

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Final answer:

To calculate the circumference of a circular track and the distance your car will go with one turn of the wheels, use the formula C = 2πr. To calculate the area of a circular floor, the oil needed to cover the bottom of a frying pan, and the frosting on top of a cookie, use the formula A = πr².

Step-by-step explanation:

To calculate the distance around a circular track, you would need to calculate the circumference of the track. The circumference is the distance around a circle. You can calculate it using the formula: C = 2πr, where C is the circumference and r is the radius of the circle.

To calculate the total number of equally-sized tiles on a circular floor, you would need to calculate the area of the floor. The area is the amount of space inside the circle. You can calculate it using the formula: A = πr², where A is the area and r is the radius of the circle.

To calculate the amount of oil it takes to cover the bottom of a frying pan, you would need to calculate the area of the pan's bottom. Similarly, to calculate the amount of frosting on the top of a cookie, you would also need to calculate the area of the cookie's top surface.

Lastly, to calculate the distance your car will go with one turn of the wheels, you would need the circumference of the wheels. The circumference is the distance traveled by a wheel in one revolution. You can calculate it using the formula: C = 2πr, where C is the circumference and r is the radius of the wheel.

For the distance around a circular track and the distance your car will go with one turn of the wheels, you need the circumference. For the total number of equally-sized tiles on a circular floor, the amount of oil it takes to cover the bottom of a frying pan, and the amount of frosting on the top of a cookie, you need the area.

User Fiso
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