Find s, the arc length of a circle

[mathdad]

The question is asking me to find s, the arc length of a circle.
How do I convert my answer in radians to the book's answer 7.54 meters?

Theta = 4pi/5

radius = 3 meters

See picture.

View attachment 7876

 

[MarkFL]

Your result is already using radians (which are dimensionless) for the angle subtended, but your result will be a length, in meters because the given radius is in meters.. Just use your calculator to convert your result to a decimal approximation.

 

[mathdad]

This is what I meant. How can I use the calculator to convert?

 

[Joppy]

This is what I meant. How can I use the calculator to convert?

What sort of calculator do you have? Can you type in $12 \pi /5$? Usually there is a little $\lhd \rhd$ symbol which will convert to decimal form.

 

[Greg]

$12\pi/5\approx7.5398$

 

[Joppy]

$12\pi/5\approx7.5398$

See greg1313 is his own calculator :p

 

[mathdad]

I found my error out. I was using 180 for pi.

 

[Ackbach]

I found my error out. I was using 180 for pi.

$180^{\circ}=\pi\,\text{rad}.$ That's your unit conversion equation.

 

[mathdad]

Thank you everyone.