Question

What is two angles measuring lign="absmiddle" class="latex-formula"> and $7\pi/8$ radians?

Answer 1

Answers:
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Question 1)  "22.5° " .
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Question 2)  "157.5° " .
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Note of interest:  "22.5°  +  157.5°  =  180° " .
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Explanation:
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To convert from "radians" to "degrees" , we multiply the:

"value in radians" by "180/$\pi$"
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Question 1)  (π/8)   *  (180/π) = ?

Both of the "π" values cancel out to "1" {since "π/π = 1" } ; 

and the "180" changes to "45" ; and the "8" changes to "2" ; 

→ since "(180/8)" = "(180÷4) / (8÷4) = 45/2 ; 

→ So we have:  "45/2" ;    

→" 45/2 = 45/ 2 = 22.5 degrees. 

The answer is:  22.5° .
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Question 2)   Convert " (7π /8)" to degrees .

Note: "(7π /8)" = 7 * (π/8) " . 

We know that "(π/8)" in degrees is:  22.5° (from question #1).

Multiply this value by "7", to get the answer.

22.5° (7) = 157.5° .

The answer is:  157.5° .

Isn't math fun, sometimes??
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