Question

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

Answer 1

Answer:

a. The distance around a circular track.  CIRCUMFERENCE

b. The total number of equally-sized tiles on a circular floor. AREA

c. The amount of oil it takes to cover the bottom of a frying pan.  AREA

d. The distance your car will go with one turn of the wheels. CIRCUMFERENCE

Step-by-step explanation:

CIRCUMFERENCE : The circumference of a circle is the total length of its boundary.

AREA : Area of a circle is the total region covered buy that circle.

a. The distance around a circular track.

Here, we are covering the distance ONLY around the track and NOT inside it,

Hence, The CIRCUMFERENCE is calculated.

b. The total number of equally-sized tiles on a circular floor.

Here, we are covering the region or the total space occupied by all the tiles on the floor.

Hence, The AREA is calculated.

c. The amount of oil it takes to cover the bottom of a frying pan.

Here, we are covering the region or the total space occupied by all the oil on the bottom of the frying pan.

Hence, The AREA is calculated.

d. The distance your car will go with one turn of the wheels.

Here,  the distance covered by wheel in 1 round  

= Total length of the boundary of wheel

= The circumference of the wheel

Hence, The CIRCUMFERENCE is calculated.