Jaime makes the following claim.

An angle with a measure of Latex: \frac{\pi}{3}
π
3
radians in a circle with a radius of Latex: 3
3
inches is smaller than an angle with a measure of Latex: \frac{\pi}{3}
π
3
radians in a circle with a radius of Latex: 6
6
inches. This is because the radian measure is based on the length of the radius of the circle and a radius of Latex: 3
3
inches is smaller than a radius of Latex: 6
6
inches.

1 answer

The claim is incorrect. The measure of an angle in radians is not dependent on the length of the radius of the circle. Radians are a unit of angular measure that is defined based on the ratio of the arc length to the radius of the circle. Therefore, an angle with a measure of π/3 radians in a circle with a radius of 3 inches is equivalent to an angle with the same measure in a circle with a radius of 6 inches. The length of the radius does not affect the size or magnitude of the angle in radians.
Similar Questions
    1. answers icon 1 answer
  1. The measure of Ø of an angle in standard position is given.a. Write each degree measure in radians and each radian measure in
    1. answers icon 3 answers
  2. Convert 252 degrees to radians.A 5π4\frac{5\pi}{4} 4 5π ​ radians B 7π5\frac{7\pi}{5} 5 7π ​ radians C
    1. answers icon 1 answer
  3. An angle has a measure of 61 degrees plus 1.1 radians.Determine the percentage of a circle's circumference cut off by this
    1. answers icon 2 answers
more similar questions