Circle with radius of 10 in
Chord AB is 14 in
Find measure of minor arc AB and then actual length of minor arc AB
we can use the law of cosines to find the angle x. once we have that, we can use the length of arc formula to find the desired arc
Do you know the origin of the word radian? How large is one radian?
One radian is the measure of the central angle in any circle that intercepts an arc of the circle equal in length to the radius of the circle. So in any circle, if we have a central angle of 2.5 radians the intercepted arc has length 2.5r. If the circle has radius 10 then any central angle of .35 radians intercepts an arc of length 3.5.
The length of arc is given by:
where is the angle that subtends the arc in degrees