Question

What is the approximate length of arc s on the circle below? Use 3.14 for Pi. Round your answer to the nearest tenth.

A circle is shown. 2 rays form an angle of 135 degrees. One ray is 6 inches long. Arc s is opposite to the angle with measure 135 degrees.

Answer 1

im pretty sure its 14.1

Explanation:

Answer 2

The approximate length of arc s is 14.1 inches

Explanation:

The picture of the question in the attached figure

step 1

Find the circumference of the circle

The formula to calculate the circumference is equal to

`C=2\pi r`

we have

`r=6\ in\\\pi=3.14`

substitute

`C=2(3.14)(6)\\C=37.68\ in`

step 2

Find the approximate length of arc s

we know that

The circumference of a circle subtends a central angle of 360 degrees

so

using proportion

Find the arc length s for a central angle of 135 degrees

`(37.68)/(360)=(x)/(135)\\\\x=37.68(135)/360\\\\x= 14.1\ in`