Khan/khan-exercises

Don't require calculator for some degree->radian problems

1 parent b66fbed commit a455670aea7c4207d46547c704e975176bd0e67c beneater committed Jun 25, 2012
Showing with 27 additions and 26 deletions.
 @@ -1,5 +1,5 @@ - + Degrees to radians @@ -8,39 +8,40 @@
- - rand(360) - roundTo( 2, toRadians(NUM_DEGREES) ) - - - - rand( commonAngles.length ) - commonAngles[COMMON_INDEX].deg - - fractionReduce( COMMON_DEGREES, 180 ) - COMMON_DEGREES / 180 * Math.PI + randFromArray(commonAngles)
-

-

SOLUTION

+

+ Convert the angle ANGLE.deg° to radians. +

-
-

To convert from degrees to radians, you multiply by \pi and then divide by 180^{\circ}.

-

COMMON_DEGREES^{\circ} \times \dfrac{\pi}{(180^{\circ})}

-

+
+ + ANGLE.deg / 180 * PI + radians
-
- -
-

Convert the angle NUM_DEGREES° into radians. (Round to the nearest hundredth of a radian.)

-

-

To convert from degrees to radians, you multiply by \pi and then divide by 180^{\circ}.

-

NUM_DEGREES^{\circ} \times \dfrac{\pi}{180^{\circ}}

-

+

+ There are 360 degrees in a circle. There + are also 2\pi radians in a circle. +

+

+ In other words, there are \pi radians per + 180 degrees. So we can convert from + degrees to radians by multiplying by \pi, + and dividing by 180^\circ. +

+

+ ANGLE.deg^\circ + \times \dfrac{\pi}{180^\circ} +

+