Respuesta :
Answer:
7
π
15
Step-by-step explanation:
To convert radians to degrees, multiply by
180
π
, since a full circle is
360
°
or
2
π
radians.
(
7
π
15
)
⋅
180
°
π
Cancel the common factor of
π
.
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7
15
⋅
180
1
Cancel the common factor of
15
.
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7
1
⋅
12
1
Simplify.
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84
Convert to a decimal.
84
°
Answer:
84° will be its degree measure
Step-by-step explanation:
We have been given a term [tex]\frac{7\pi}{15}[/tex]
When we need to convert any measure from radian to degree we multiply the required radian term by [tex]\frac{180^{\circ}}{\pi}[/tex]
And similarly when we need to convert degree measure to radian we multiply the term with [tex]\frac{\pi}{180^{\circ}}[/tex]
Here we will multiply the given term [tex]\frac{7\pi}{15}[/tex] with [tex]\frac{180}{\pi}[/tex] we will get [tex]\frac{7\pi}{15}\cdot \frac{180}{\pi}[/tex]
[tex]\pi[/tex] will get cancel from numerator and denominator we will get [tex]\frac{7\cdot180}{15}[/tex] we will get 84
Hence, [tex]\frac{7\pi}{15}\Rightarrow 84^{\circ}[/tex]
