Answered

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how many degrees is 17/9 of a semicircle

Sagot :

1030636379

Answer:

340°

Step-by-step explanation:

To convert radians to degrees, multiply by [tex]\frac{180}{\pi }[/tex] since a full circle is 360° or

2[tex]\pi[/tex] radians.

[tex](\frac{17}{\pi } )[/tex] x [tex]\frac{180}{\pi }[/tex]

Factor [tex]\pi[/tex] out 0f 17[tex]\pi[/tex]

[tex]\frac{\pi (17)}{9}[/tex] x [tex]\frac{180}{\pi }[/tex]

Cancel the common factor "[tex]\pi[/tex]"

Rewrite the expression as:

[tex]\frac{17}{9}[/tex] x 180

Factor 9 out of 180.

[tex]\frac{17}{9}[/tex] x(9(20))

Cancel out the common factor "9"

Rewrite the expression as:

17 x 20

=340°

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