Question

A circle has a radius of 1.7 inches. Find the length of an arc intercepted by a central angle whose measure is 2 radians.

Answer 1

Let's summarize the given information first:

The radius is:

`r=1.7\text{ in}`

And the central angle is:

`a=2\text{ rad}`

To solve this problem and find the length of the arc we use the following formula:

`\text{arc length=}a* r`

Where "a" is the central angle in radians (in this case a=2) and r is the radius of the circle.

The following image shows these measures:

Now, to find the arc length we substitute a and r into our formula:

`\text{arc length}=2*1.7\text{ in}`

Solving the multiplication:

`\text{arc length}=3.4\text{ in}`

Answer: 3.4 in