Using the chord formula as you done, we should get the angle theta as being
or about 50.75 degrees.
Then, using the formula for the area of a circular segment gives:
1.a chord of length 6 cm is drawn in a circle of radiue 7cm. Find:
a)the area of the smaller region inside the circle cut off by the chord.
My working out:
Formula i used is ½r^2 (theta-sintheta)
So r=7, theta=?
Sine theta/2 =3/7
=50.75 degrees conversion to radians is 0.89.
So plug out degree and radius into the equation
=21.42 ??, the actual answer is 2.73 cm^2
my diagram is below