a circle has a radius of 4inches. in inches what is the length of the arc intercepted by a central angle of 2 radians?

Question

anonymous · Answer

$$c=2\pi*4,required ~length=\frac{ 8 \pi }{ 2\pi }*2=8~ inch$$

anonymous · Answer

what does c stand for?

anonymous · Answer

central angle?

mathmale · Answer

this is the most recent post of yours that I could find; is this the problem y ou want to discuss now?

anonymous · Answer

a dog has a 20 foot leash attached to the corner where a garage and a fence meet as shown in the accompanying diagram. when the dog pulls the leash tight and walks from the fence to the garage the arc the leash makes 55.8ft. what is the measure of angle theta between the garage and the fence , in radians?

anonymous · Answer

il send u the pic now gv me a min plz

anonymous · Answer

attachment

mathmale · Answer

I'm waiting for your illustration to upload.  It's uploading slowly.

anonymous · Answer

oh ok
thnks

mathmale · Answer

Regents' Exam prep?  Cool.

This is another arc-length problem

As before, the equation is  x = r * theta.

Which of thoese 3 variables do you know and which do you not know?

anonymous · Answer

review sheet my teacher gave for my test this week

anonymous · Answer

wat does r stand for?

mathmale · Answer

Good.  Nice of him/her to give you a review sheet.

So, which of those 3 vars. do you know?  Which do you not know?

r is the RADIUS of the circle in question.

anonymous · Answer

there is no radius in this ques tho

anonymous · Answer

theta would be 55.8?

mathmale · Answer

Look again, please, lyubas.

You have part of a circle (which is called an "arc", you have the length of the dog's leach, and you have a central angle.

which of those do you know, and which do you not know yet?

anonymous · Answer

so arc is 55.8?

mathmale · Answer

Yes.  Please be sure to use units of measurement.  "The arc length is 55.8 feet."

which of the other 2 variables do you know?  not know?

anonymous · Answer

so the leash is 20ft?

anonymous · Answer

and we dnt no the central angle

mathmale · Answer

The leash is 20 feet long, and therefore your radius is 20 feet.

There is a central angle, but we don't know its value.

Your job is to find the central angle.

How?

anonymous · Answer

how do u no thts the radius tho?

mathmale · Answer

the diagram is poorly drawn.  Let me draw it again quickly.

anonymous · Answer

ok

mathmale · Answer

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