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22. A sector of 120° cut out from a circle has3an area of 9sq.cm. What is the radiof the circle?(A) 3 cm(C) 3.5 cmus(B) 2.5 cm(D) 3.6 cm

Answer»

area of a sector of circle = πr² x angle / 360

= 3.14 x r² x 120 / 360 = 66/7= 3.14 x r² x 1/3 = 66/7= 3.14 x r² x 0.33 = 66/71.0362 r² = 66/7and , r² = 9/1.0362r² = 9r = approx 3 cm



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