Final answer:
The question asks to identify measurements as radius, diameter, or circumference of circular objects, and estimate the other two measurements. The order of the other two measurements from least to greatest is also requested.
Step-by-step explanation:
For each measurement, let's identify whether it represents the radius, diameter, or circumference of a circular object:
- a. The length of the minute hand of a clock is 5 in. This measurement represents the radius of the clock. The other two measurements, the diameter and circumference, can be estimated using the formulas:
Diameter = 2 * Radius
Circumference = 2 * π * Radius (π is approximately 3.14). - b. The distance across the sink drain is 3.8 cm. This measurement represents the diameter of the drain. The other two measurements, the radius and circumference, can be estimated using the formulas:
Radius = Diameter / 2
Circumference = π * Diameter (π is approximately 3.14). - c. The tires on a mining truck are 14 ft tall. This measurement represents the height or diameter of the tires. The other two measurements, the radius and circumference, can be estimated using the formulas:
Radius = Diameter / 2
Circumference = π * Diameter (π is approximately 3.14). - d. The fence around a circular pool is 75 ft long. This measurement represents the circumference of the pool. The other two measurements, the radius and diameter, can be estimated using the formulas:
Radius = Circumference / (2 * π) (π is approximately 3.14)
Diameter = 2 * Radius. - e. The distance from the tip of a slice of pizza to the crust is 7 in. This measurement represents the radius of the slice. The other two measurements, the diameter and circumference, can be estimated using the formulas:
Diameter = 2 * Radius
Circumference = 2 * π * Radius (π is approximately 3.14). - f. Breaking a cookie in half creates a straight side 10 cm long. This measurement represents the diameter of the cookie. The other two measurements, the radius and circumference, can be estimated using the formulas:
Radius = Diameter / 2
Circumference = π * Diameter (π is approximately 3.14). - g. The length of the metal rim around a glass lens is 190 mm. This measurement represents the circumference of the lens. The other two measurements, the radius and diameter, can be estimated using the formulas:
Radius = Circumference / (2 * π) (π is approximately 3.14)
Diameter = 2 * Radius. - h. From the center to the edge of a DVD measures 60 mm. This measurement represents the radius of the DVD. The other two measurements, the diameter and circumference, can be estimated using the formulas:
Diameter = 2 * Radius
Circumference = 2 * π * Radius (π is approximately 3.14).
By using the appropriate formulas, you can estimate the other two measurements for each circular object.
The order from least to greatest for the other two measurements:
- a. Diameter, Circumference
- b. Radius, Circumference
- c. Radius, Circumference
- d. Radius, Diameter
- e. Diameter, Circumference
- f. Radius, Circumference
- g. Radius, Diameter
- h. Diameter, Circumference