Question

GEOMETRY HELP URGENT?

Answer 1

Let the centre be O and the line with one end point at the centre and another at the chord CD touches the chord at S .

So CS is the half of 36.7 = 18.35

$sin \angle COS = \frac{18.75}{21.8}$

$\angle COS = sin^{-1}(\frac{18.75}{21.8}) =59.35 degree$

Therefore,

$\angle COD =2*59.35 =118.7$

Therefore the measurement of arc CD is 118.7 degree.