Question

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 rotation of the wheels.

Explanation:

Step1: Analyze part a

The distance around a circular track is the perimeter of the circle. The perimeter of a circle is called the circumference.

Step2: Analyze part b

The total number of equally - sized tiles on a circular floor depends on the surface area that the floor occupies. So, we need to calculate the area of the circular floor.

Step3: Analyze part c

The amount of oil to cover the bottom of a frying pan depends on the surface area of the bottom of the pan. So, we need to calculate the area.

Step4: Analyze part d

The distance a car will go with one rotation of the wheels is equal to the perimeter of the wheel (assuming no slipping). The perimeter of a circle (wheel) is the circumference.

Answer:

a. Circumference.
b. Area.
c. Area.
d. Circumference.