Answer:
Area of the given sector = 130.9 cm²
Step-by-step explanation:
Area of a sector is given by the formula,
Area of the sector = [tex]\frac{\theta}{2\pi }\times (\pi r^{2})[/tex]
Area of the sector of the circle given in the picture = [tex]\frac{\frac{5\pi }{6} }{2\pi }[\pi (10)^{2}][/tex]
= [tex]\frac{5}{12}(100\pi )[/tex]
= 130.8996
≈ 130.9 cm²
