If x^(@) is equal to 7pi radians, what is the value of x ? (The number of degrees of arc in a circle is 360 . The number of radians of arc in a circle is 2pi.)

Convert Radians to Degrees: To convert radians to degrees, we use the relationship that 2pi radians is equal to 360 degrees. Since we are given that x^(@) is equal to 7pi radians, we need to find out how many degrees that is.Set Up Proportion: We set up the proportion to convert 7pi radians to degrees: (7pi radians) * (360 degrees / 2pi radians). The pi radians cancel out, leaving us with the calculation 7 * (360 / 2).Perform Calculation: Performing the calculation, we get 7 * 180, which equals 1260 degrees. This is the value of x^(@) in degrees.Final Value of x: Since x^(@) represents the angle in degrees, the value of x is simply 1260 degrees. There is no further calculation needed.

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If
x^(@) is equal to
7pi radians, what is the value of
x ?
(The number of degrees of arc in a circle is 360 . The number of radians of arc in a circle is
2pi.)

If $x^{\circ}$ is equal to $7 \pi$ radians, what is the value of $x$ ? $\newline$ (The number of degrees of arc in a circle is $360$ . The number of radians of arc in a circle is $2 \pi$ .)

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Math Problems

Algebra 2

Convert between radians and degrees

Full solution

Q. If

x^{\circ}

is equal to

7 \pi

radians, what is the value of

x

\newline

(The number of degrees of arc in a circle is

360

. The number of radians of arc in a circle is

2 \pi

Convert Radians to Degrees: To convert radians to degrees, we use the relationship that $2\pi$ radians is equal to $360$ degrees. Since we are given that x^{(\@)} is equal to $7\pi$ radians, we need to find out how many degrees that is.
Set Up Proportion: We set up the proportion to convert $7\pi$ radians to degrees: $(7\pi \text{ radians}) \times (360 \text{ degrees} / 2\pi \text{ radians})$ . The $\pi$ radians cancel out, leaving us with the calculation $7 \times (360 / 2)$ .
Perform Calculation: Performing the calculation, we get $7 \times 180$ , which equals $1260$ degrees. This is the value of x^{(\@)} in degrees.
Final Value of x: Since $x^{(@)}$ represents the angle in degrees, the value of $x$ is simply $1260$ degrees. There is no further calculation needed.