Question

Which is an expression in square units that represents the area of the shaded segment of C. Geometry

Answer 1

Answer:

$\frac{1}{2} {r}^{2} ( \frac{1}{2}\pi - 1)$

option D is the right option.

solution,

Area of shaded region:

Area of sector-Area of ∆

$= \frac{90}{360} \times \pi {r}^{2} - \frac{1}{2} \times r \times r \\ = \frac{1}{4} \pi {r}^{2} - \frac{1}{2} {r}^{2} \\ = \frac{1}{2} {r}^{2} ( \frac{1}{2} \pi - 1)$

Hope this helps...

Good luck on your assignment..