Math

Question Convert 7π5-\frac{7 \pi}{5} to degrees.

Studdy Solution

STEP 1

Assumptions1. We are given an angle in radians, which is 7π5-\frac{7 \pi}{5}. . We need to convert this angle from radians to degrees.

STEP 2

The formula to convert an angle from radians to degrees isDegrees=Radians×180πDegrees = Radians \times \frac{180}{\pi}

STEP 3

Now, plug in the given value for the angle in radians to calculate the angle in degrees.
Degrees=7π5×180πDegrees = -\frac{7 \pi}{5} \times \frac{180}{\pi}

STEP 4

Notice that π\pi in the numerator and denominator will cancel out. So, the equation simplifies toDegrees=7×180Degrees = -\frac{7 \times180}{}

STEP 5

Calculate the angle in degrees.
Degrees=7×1805=252Degrees = -\frac{7 \times180}{5} = -252^\circSo, 7π5-\frac{7 \pi}{5} radians is equivalent to 252-252^\circ degrees.

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