Question 402881
The formula for the length of the arc 's' given a radius 'r' and and angle 'x' is {{{s=rx}}} Note: x is in radians



In your case, {{{s=6/12=1/2}}} (I'm converting to feet) since it moves along a path that's half a foot long. So {{{s=1/2}}}



Also, we're given that the pendulum is 4 ft long. So {{{r=4}}}



Plug all of this into the formula above to get {{{1/2=4x}}} and solve for x to get {{{x=1/8}}}



So the angle is {{{1/8}}} of a radian. Now convert this to degrees to get {{{(1/8)(180/pi)=7.1619724391353}}} (which is approximate)



So the angle in degrees is about 7.16 degrees