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| 1. |
If the radius of the circle is 6cm and length of an arc is 12 cm find area of sector |
| Answer» Let angle of arc ={tex}\\theta{/tex}{tex}\\begin{array}{l}\\mathrm{Length}\\;\\mathrm{of}\\;\\mathrm{arc}=\\frac{\\mathrm\\theta}{360}\\times2\\mathrm{πr}\\\\\\mathrm{so}\\;\\frac{\\mathrm\\theta}{360}\\times2\\mathrm\\pi\\times6=12\\\\\\frac{\\mathrm{θπ}}{360}=1.....(1)\\\\\\mathrm{now}\\;\\mathrm{area}\\;\\mathrm{of}\\;\\mathrm{sector}\\\\=\\frac{\\mathrm\\theta}{360}\\times\\mathrm{πr}^2=1\\times\\mathrm r^2=\\mathrm r^2\\;(\\;\\mathrm{from}\\;(1))\\\\=6^2=36\\;\\mathrm{cm}^2\\end{array}{/tex} | |