All New SAT Math - No Calculator Resources
Example Questions
Example Question #191 : New Sat Math Calculator
Convert  radians into degrees.
Recall the definition of "radians" derived from the unit circle:
The quantity of radians given in the problem is . All that is required to convert this measure into degrees is to denote the unknown angle measure in degrees byÂ
 and set up a proportion equation using the aforementioned definition relating radians to degrees:
Cross-multiply the denominators in these fractions to obtain:
or
.
Canceling like terms in these equations yields
Hence, the correct angle measure of  in degrees isÂ
.
Example Question #591 : New Sat
 radians is equivalent to how many degrees?
1 radian is equal to  degrees. Using this conversion factor,
.
Example Question #22 : Radians
Convert  into radians.Â
Recall that there are 360 degrees in a circle which is equivalent to  radians. In order to convert between radians and degrees use the relationship that,
Thus, in order to convert from degrees to radians you need to multiply by .
So in this particular case,Â
.
Example Question #23 : Radians
Convert  into radians.
Recall that there are 360 degrees in a circle which is equivalent to  radians. In order to convert between radians and degrees use the relationship that,Â
Thus, in order to convert from degrees to radians you need to multiply by .Â
So in this particular case,
 .
Example Question #591 : New Sat
Convert  into radians.
Recall that there are 360 degrees in a circle which is equivalent to  radians. In order to convert between radians and degrees use the relationship that,
.
Thus, in order to convert from degrees to radians you need to multiply by .
So in this particular case,Â
.
Example Question #31 : Radians
Convert  into radians.
Recall that there are 360 degrees in a circle which is equivalent to  radians. In order to convert between radians and degrees use the relationship that,
Thus, in order to convert from degrees to radians you need to multiply by .
So in this particular case,Â
.
Example Question #201 : New Sat Math Calculator
Convert  into radians.
Recall that there are 360 degrees in a circle which is equivalent to  radians. In order to convert between radians and degrees use the relationship that,
.
Thus, in order to convert from degrees to radians you need to multiply by .
So in this particular case,Â
.
Example Question #201 : New Sat Math Calculator
Convert  into radians.
Recall that there are 360 degrees in a circle which is equivalent to  radians. In order to convert between radians and degrees use the relationship that,
.
Thus, in order to convert from degrees to radians you need to multiply by .
So in this particular case,Â
 .
Example Question #32 : Circles
Convert  into degrees.
Recall that there are 360 degrees in a circle which is equivalent to  radians. In order to convert between radians and degrees use the relationship that,
Therefore, in order to convert from radians to degrees you need to multiply by .
So,Â
.
Example Question #202 : New Sat Math Calculator
Convert  into degrees.
Recall that there are 360 degrees in a circle which is equivalent to  radians. In order to convert between radians and degrees use the relationship that,
.
Therefore, in order to convert from radians to degrees you need to multiply by . So in this particular case,Â
.
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All New SAT Math - No Calculator Resources
