| Directions: Q. 26 to 30 |
| Heena hold a Japanese 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 6 cm and 10 cm respectively. The fan has three colours i.e. Pink, Blue and Black. |
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| Based on the above information, answer the following questions. |
A) \[49.17c{{m}^{2}}\]
B) \[44.69c{{m}^{2}}\]
C) \[41.17c{{m}^{2}}\]
D) \[43.17c{{m}^{2}}\]
Correct Answer: B
Solution :
From the figure, Area of the region having blue colour \[=\frac{80{}^\circ }{360{}^\circ }\pi {{\left( 10 \right)}^{2}}-\frac{80{}^\circ }{360{}^\circ }\times \pi {{\left( 6 \right)}^{2}}\] \[=\frac{80{}^\circ }{360{}^\circ }\times \frac{22}{7}\times \left[ {{\left( 10 \right)}^{2}}-{{\left( 6 \right)}^{2}} \right]\] \[=\frac{80{}^\circ }{360{}^\circ }\times \frac{22}{7}\times 16\times 4\] \[=\frac{112640}{2520}\] \[=44.69\,\,c{{m}^{2}}\]
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