| Study Case : Q. 11 to 15 |
| A garden bed is shown below. It is a rectangle with semi-circular ends. It has a concrete circular fountain at the centre as shown. Grass is grown in the garden bed at all places except the central fountain region. |
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| Based on the above information, answer the following questions: |
A) \[77\,{{m}^{2}}\]
B) \[308\,{{m}^{2}}\]
C) \[154\,{{m}^{2}}\]
D) \[616\,{{m}^{2}}\]
Correct Answer: C
Solution :
| Diameter of the concrete circular fountain at the centre =Width of the rectangle \[=14m.\]. |
| \[\therefore \]Radius of the concrete circular fountain \[=7m\] |
| So, Area of the concrete circular fountain |
| \[=\pi {{r}^{2}}\] |
| \[=\frac{22}{7}\times 7\times 7=154{{m}^{2}}\] |
| So, option [c] is correct. |
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