. A circular disc of radius 6 cm is divided into three sectors with central angles 90°, 120°and 150°. What part of the whole circle is the sector with central angle 150°? Also, calculate the ratio of the areas of the three sectors.
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Area of sector having central angle 150°
=150°/360°(6) ^2 = 5/12 * Area of circular disc
Now, Area of sector having central angle
90° : Area of sector having central angle
120° : Area of sector having central angle
150°
= 90°/360°π(6) ^2 : 120°/360° (6) ^2 : 150/360 π(6) ^2
= 1/4 : 1/3 : 5/12
= 3 : 4 : 5
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