A class measured the radius and circumference of various circular objects. The results are plotted on the graph.
Graph of 4 plotted points on grid.
a. Does there appear to be a proportional relationship between the radius and circumference of a circle? Select the correct choice.
A Yes.Yes.
B No.No.
Explain or show your reasoning.
Type your response in the space below.
No this does not show a constant of proportionality because If there's a straight line drawn down to connect the points it would not pass through the center to the origin.
b. Why might the measured radii and circumferences not be exactly proportional?
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For each quantity, decide whether circumference or area would be needed to calculate it.
Select the correct choice in each row.
area circumference
A The distance around a circular track.
area – A – The distance around a circular track.
circumference – A – The distance around a circular track.
B The total number of equally-sized tiles on a circular floor.
area – B – The total number of equally-sized tiles on a circular floor.
circumference – 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.
area – C – The amount of oil it takes to cover the bottom of a frying pan.
circumference – 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.
area – D – The distance your car will go with one turn of the wheels.
circumference – D – The distance your car will go with one turn of the wheels.
Explain or show your reasoning for each choice.
Type your response in the space below.
This figure is made from a part of a square and a part of a circle.
A figure composed of a part of a square and a part of a circle.
a. What is the perimeter of this figure, to the nearest unit?
Type the answer into the box below.
units
b. What is the area of this figure, to the nearest square unit?
Type your answer in the box below.
square units
A groundskeeper needs grass seed to cover a circular field, 290 feet in diameter.
A store sells 50-pound bags of grass seed. One pound of grass seed covers about 400 square feet of field.
What is the smallest number of bags the groundskeeper must buy to cover the circular field?
Type your answer in the box below.
bags
Explain or show your reasoning.
Type your response in the space below.
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