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Last updated over 1 year ago
12 questions
1
1. The picture shows a circle divided into 8 equal wedges which are rearranged.
The radius of the circle is r and its circumference is 2πr. How does the picture help to explain why the area of the circle is πr^2?
Use the text box to explain your reasoning.
1. The picture shows a circle divided into 8 equal wedges which are rearranged.
The radius of the circle is r and its circumference is 2πr. How does the picture help to explain why the area of the circle is πr^2?
Use the text box to explain your reasoning.
2
2. A circle's circumference is approximately 76 cm. Estimate the radius and diameter of the circle.
2. A circle's circumference is approximately 76 cm. Estimate the radius and diameter of the circle.
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
Radius | arrow_right_alt | About 12 cm |
Diameter | arrow_right_alt | About 24 cm |
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2. Estimate the area of the circle.
2. Estimate the area of the circle.
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3. Jada paints a circular table that has a diameter of 37 inches. What is the area of the table?
3. Jada paints a circular table that has a diameter of 37 inches. What is the area of the table?
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4. The Carousel on the National Mall has 4 rings of horses. Kiran is riding on the inner ring, which has a radius of 9 feet. Mai is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is.
a) In one rotation of the carousel, how much farther does Mai travel than Kiran?
4. The Carousel on the National Mall has 4 rings of horses. Kiran is riding on the inner ring, which has a radius of 9 feet. Mai is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is.
a) In one rotation of the carousel, how much farther does Mai travel than Kiran?
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4b. One rotation of the carousel takes 12 seconds. How much faster does Mai travel than Kiran?
4b. One rotation of the carousel takes 12 seconds. How much faster does Mai travel than Kiran?
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5a. A coin rolls a distance of 33 cm in 5 rotations. Which coin is it?
5a. A coin rolls a distance of 33 cm in 5 rotations. Which coin is it?
1
5b. A quarter makes 8 rotations. How far did it roll?
5b. A quarter makes 8 rotations. How far did it roll?
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5c. A dime rolls 41.8 cm. How many rotations did it make?
5c. A dime rolls 41.8 cm. How many rotations did it make?
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EXIT TICKETA circle's circumference is approximately 44 cm.
1. The circle's diameter is approximately _______ cm.
EXIT TICKET
A circle's circumference is approximately 44 cm.
1. The circle's diameter is approximately _______ cm.
1
EXIT TICKETA circle's circumference is approximately 44 cm.
2. The circle's radius is approximately _______ cm.
EXIT TICKET
A circle's circumference is approximately 44 cm.
2. The circle's radius is approximately _______ cm.
1
EXIT TICKETA circle's circumference is approximately 44 cm.
3. The circle's area is approximately _______ sq cm.
EXIT TICKET
A circle's circumference is approximately 44 cm.
3. The circle's area is approximately _______ sq cm.