Answer:
Area = 51.89cm^2
Step-by-step explanation:
[tex]The- region- is- a -segment\\r = 7cm\\\alpha = 150\\A = \frac{\alpha }{360} \times \pi r^2 -\frac{1}{2} \times r^2Sin\alpha \\\\A = \frac{150}{360} \times 3.142 \times7^2 -\frac{1}{2} \times 7^2 \times Sin 150\\A =5/12 \times 3.142 \times49- (1/2\times 49 \times1/2)\\A = 64.149-49/4\\A = 51.89[/tex]
