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Ex.3: The area of the circle is 81 Tt sq. cms. Find thelength of its arc subtending an angle of 150° atthe centre. Also, find the area of thecorresponding sector.Draw QR

Answer»

πr^2 = 81π then r = 9 cmthen circumference of 150° degree subtending arc = 2π/(5π/6)*π*r = 12/5*π*r =21.16π cmand corresponding area = (π-π/6) *r^2 =5π/6 *r^2 = 5π/6 *81 = 135π cm^2.



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