| Study Case : Q. 16 to 20 |
| Shiva made a painting on a square chart paper ABCD. The painting is made up of squares, semi-circular arcs (painted with flowers) and arcs of quadrant of circles as shown below. He painted the same type of region with same colours. |
 |
| Based on the above information, answer the following questions: |
A) \[90.8\,c{{m}^{2}}\]
B) \[100.57\,c{{m}^{2}}\]
C) \[\text{1}0\text{5}.\text{6 c}{{\text{m}}^{\text{2}}}\]
D) \[\text{111}.\text{2}0\text{ c}{{\text{m}}^{\text{2}}}\]
Correct Answer: B
Solution :
| Region which is painted with flowers are 4 semi-circles of diameter \[8cm,\] i.e., 2 circles of radius \[4cm\] each. |
| \[\therefore \] Total area of region which is painted with flowers |
| \[=2\times \pi {{r}^{2}}=2\times \frac{22}{7}\times 4\times 4=100.57c{{m}^{2}}\] |
| So, option [b] is correct. |
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