Geometry :)))))))))))))))))))))))))))))))

Given:Given that O is the center of the circle.The radius of the circle is 3 m.The measure of ∠AOB is 30°We need to determine the length of the major arc ACBMeasure of major ∠AOB:The measure of major angle AOB can be determined by subtracting 360° and 30°Thus, we have;[tex]Major \ \angle AOB=360-30[/tex][tex]Major \ \angle AOB=330^{\circ}[/tex]Thus, the measure of major angle is 330°Length of the major arc ACB:The length of the major arc ACB can be determined using the formula,[tex]m \widehat{ACB}=(\frac{\theta}{360})2 \pi r[/tex]Substituting r = 3 and [tex]\theta=330[/tex], we get;[tex]m \widehat{ACB}=(\frac{330}{360})2 \pi (3)[/tex][tex]m \widehat{ACB}=\frac{1980}{360}\pi[/tex][tex]m \widehat{ACB}=5.5 \pi[/tex]Thus, the length of the major arc ACB is 5.5π m