MCQ
In the following figure, the shaded area is :
- A$50(\pi-2)\text{ cm}^2$
- ✓$25(\pi-2)\text{ cm}^2$
- C$25(\pi+2)\text{ cm}^2$
- D$5(\pi-2)\text{ cm}^2$
✓
Answer
Correct option: B.
$25(\pi-2)\text{ cm}^2$
Area of the shaded region is $-$
$=\Big[\frac{\pi\theta}{360}-\sin\frac{\theta}{2}\cos\frac{\theta}{2}\Big](\text{r})^2$
$=\Big(\frac{\pi}{4}-\frac{1}{2}\Big)(10) ^2$
$=25(\pi-2)\text{ cm}^2$
So the answer is $(b).$
$=\Big[\frac{\pi\theta}{360}-\sin\frac{\theta}{2}\cos\frac{\theta}{2}\Big](\text{r})^2$
$=\Big(\frac{\pi}{4}-\frac{1}{2}\Big)(10) ^2$
$=25(\pi-2)\text{ cm}^2$
So the answer is $(b).$
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