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For each picture, which measurement is shown? Be prepared to explain your reasoning.
Wagon wheel: 3 feet
Plane propeller: 24 inches
Sliced orange: 20 centimeters
Earlier, we looked at pictures of circular objects. One measurement for each object is listed in the table.
Your teacher will assign you an approximation of to use for this activity.
| object | radius | diameter | circumference |
|---|---|---|---|
| wagon wheel | 3 ft | ||
| airplane propeller | 24 in | ||
| orange slice | 20 cm |
Hopi (HOH-pee) weavers make baskets by weaving thin strips of yucca onto a circular willow frame.
To make a basket with a radius of inches, how long does the piece of willow for the circular frame need to be?
If a weaver uses a piece of willow that is 33 inches long, what will the radius of the basket be?
The field inside a running track is made up of a rectangle that is 84.39 m long and 73 m wide, together with a half-circle at each end.
The circumference of a circle, , is times the diameter, . The diameter is twice the radius, . So if we know any one of these measurements for a particular circle, we can find the others. We can write the relationships between these different measures using equations:
If the diameter of a car tire is 60 cm, that means the radius is 30 cm, and the circumference is , or about 188 cm.
If the radius of a clock is 5 in, that means the diameter is 10 in, and the circumference is , or about 31 in.
If a ring has a circumference of 44 mm, that means the diameter is , which is about 14 mm, and the radius is about 7 mm.