In fig. 6, find the area of the shaded region, enclosed between two concentric circles of radii 7 cm and 14 cm where\[\angle AOC=40{}^\circ \]. (Use \[\pi =\frac{22}{7}\]) |
Answer:
Given, \[r=7\text{ }cm\] and \[R=14\text{ }cm\] . Area of shaded region \[=\pi ({{R}^{2}}-{{r}^{2}})\frac{\theta }{360{}^\circ }\] \[=\frac{22}{7}({{14}^{2}}-{{7}^{2}})\times \frac{(360{}^\circ -40{}^\circ )}{360{}^\circ }\] \[=\frac{22}{7}\times 7\times 21\times \frac{320{}^\circ }{360{}^\circ }\] \[=410.67\,\,c{{m}^{2}}\]
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