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### Grade 7 - Mathematics9.20 Angle of a Sector

 Example: Find the angle of a sector of a circle whose area is 1/4th of the circle. Solution: Area of a circle = pr2. Area of a sector is = q/360opr2. Here (1/4)pr2 = (q/360o)pr2. i.e 1/4 = q/360o i.e q = 360/4 = 90o. Directions: Read the above example carefully and answer the following questions. Also write 10 examples of your own.
 Q 1: Find the angle of the sector of a circle whose area is 5/12 of the circle.160°None of these150°140° Q 2: Find the angle of the sector of a circle whose area is 2/5 of the circle.None of these144°154°134° Q 3: Find the radius of a circle if the angle of the sector of the circle is given by 240°. Also the area of the sector is 2/3 times the area of the circle which is 70 cm2.5.73 cmNone of these3.73 cm4.73 cm Q 4: Find the angle of the sector of a circle whose area is 3/5 of the circle.238°None of these216°228° Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!

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