contestada

Jaime makes the following claim.
An angle with a measure of π/3 radians in a circle with a radius of 3 inches is smaller than an angle with a measure of π/3 radians in a circle with a radius of 6 inches. This is because the radian measure is based on the length of the radius of the circle and a radius of 3 inches is smaller than a radius of 6 inches.

1. Review Jaime’s statement and what you know about angles and radians.
a. Explain whether you agree with Jaime’s statement or not.
b. Provide examples to support your whether you agree or disagree.

Respuesta :

Martebi

In the case above, Jaime claim is true.

  • The explanation to agree with Jaime’s statement or not is that the longer the length of the radius, the longer the length of the arc.

What is the claim about?

1. Note that radian measure:

=   [tex]\frac{60° }{360°}[/tex] x 2π  x 3

= 1/6 x 6π  

= π  

2. Note that radian measure:

=  [tex]\frac{60° }{360°}[/tex] x 2π  x 6

= 1/6  x 2π  x 6

=2π  

So we can write it as:

π/3  x 180°/π    = 60°

Therefore, via the solution above, Jaime claim is true.

3. Note that: Radian measures: the percentage of arc measures x  2π  x radius and so one can say that The explanation to agree with Jaime’s statement or not is that the longer the length of the radius, the longer the length of the arc.

Learn more about radius from

https://brainly.com/question/358744

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