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.

Respuesta :

Answer:

The approximate length of arc s is 14.1 inches

Step-by-step 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

[tex]C=2\pi r[/tex]

we have

[tex]r=6\ in\\\pi=3.14[/tex]

substitute

[tex]C=2(3.14)(6)\\C=37.68\ in[/tex]

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

[tex]\frac{37.68}{360}=\frac{x}{135}\\\\x=37.68(135)/360\\\\x= 14.1\ in[/tex]

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Answer:

im pretty sure its 14.1

Step-by-step explanation:

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