Question

Help! An angle with a measure of Latex: π/3 radians in a circle with a radius of Latex: 3 inches is smaller than an angle with a measure of Latex: π/3 radians in a circle with a radius of Latex: 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 inches is smaller than a radius of Latex: 6 inches.

Answer 1

The statement is false, because radian measure does not depend on the radius of a circle.

What is radian measure?

Radian measure is defined as the angle subtended at the center by an arc of length 1 unit in a unit circle.

Radian measure depends on the length of arc of a circle, since it increases as the arc length increases and decreases as the arc length decreases.

What is arc length?

Arc length is defined as the distance along the part of the circumference of any circle.

Thus, we can conclude that the statement is false, because radian measure does not depend on the radius of a circle.

Learn more about radian measure here: brainly.com/question/19758686

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