Find the area of shaded region.
Could someone help me with this? I wrote required area$=2 \times$ Area of semi-circle- Area of rectangle but it gives wrong answer.
[Math] Area of shaded region inside rectangle
geometry
geometry
Find the area of shaded region.
Could someone help me with this? I wrote required area$=2 \times$ Area of semi-circle- Area of rectangle but it gives wrong answer.
Best Answer
Hint:
The shaded region consists of two segments. Each segments comes from a sector with subtended angle of $120^{\circ}$.
\begin{align*} \text{The required area} &= 2\left( \pi \times 7^2 \times \frac{120^{\circ}}{360^{\circ}}- \frac{7^2}{2} \sin 120^{\circ} \right) \end{align*}