| Study Case : Q. 6 to 10 |
| Sara hold a Japanese folding fan in her hand as shown in the figure. It is shaped like a sector of a circle and made of a thin material such as paper or feather. The inner and outer radii are \[\text{3 cm}\] and \[\text{5 cm}\] respectively. The fan has three colours i.e., red, blue and green. |
 |
| Based on the above information, answer the following questions: |
A) \[9.17\,c{{m}^{2}}\]
B) \[10.1\,c{{m}^{2}}\]
C) \[11.17\,c{{m}^{2}}\]
D) \[13.17\,c{{m}^{2}}\]
Correct Answer: C
Solution :
| Area of the region containing blue colour |
| \[=\frac{22}{7}\times 5\times 5\times \frac{80{}^\circ }{360{}^\circ }-\frac{22}{7}\times 3\times 3\times \frac{80{}^\circ }{360{}^\circ }\] |
| \[=\frac{22}{7}\times \frac{2}{9}\times [25-9]=\frac{44}{63}(16)=11.17c{{m}^{2}}\] |
| So, option [c] is correct. |
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