Step-by-step explanation:
take a as the angle. x = 1.5 radians
Area of Sector in the circle(including shaded region)
[tex] = \frac{1}{2}r {}^{2} x \\ = \frac{1}{2} (10) {}^{2} (1.5) \\ = 75units {}^{2} [/tex]
Area of Triangle =
[tex] \frac{1}{2} r {}^{2} \sin(x) \\ = \frac{1}{2} (10) {}^{2} \sin(1.5) \\ = 49.87475units {}^{2} [/tex]
Area of shaded region = Area of Sector in Circle - Area of Triangle
[tex] = 75 - 49.87475 \\ = 25.12525units {}^{2} [/tex]
