Which of the following are appropriate units of angle measure? Select all that apply.
1/7-th of the circumference of a circle.
1 radian
1 inch
1/15-th of the circumference of a circle.
1 degree
1 meter
radians and degrees
better review the topic
To determine which of the given options are appropriate units of angle measure, we need to understand what angle measure is and what units are commonly used to measure it.
Angle measure is the extent to which a quantity rotates around a point or line. It is typically measured in degrees, but there are other units as well.
Now let's evaluate each of the given options:
1/7-th of the circumference of a circle: This is a valid unit of angle measure and is commonly referred to as 1/7th of a full revolution.
1 radian: Radians are the SI unit of angle measure and are widely used in mathematics and physics. It is a valid unit of angle measure.
1 inch: Inches are units of length and not appropriate for measuring angles.
1/15-th of the circumference of a circle: Similar to the 1/7th option, this is a valid unit of angle measure and represents 1/15th of a full revolution.
1 degree: Degrees are the most commonly used unit of angle measure. It is a valid unit.
1 meter: Meters are units of length and not appropriate for measuring angles.
From the above analysis, the appropriate units of angle measure are:
- 1/7-th of the circumference of a circle
- 1 radian
- 1/15-th of the circumference of a circle
- 1 degree
Therefore, the correct options are 1/7-th of the circumference of a circle, 1 radian, 1/15-th of the circumference of a circle, and 1 degree.
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