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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 radius of a circle if the angle of the sector of a circle is given by 270°. The area of the sector is 3/4 of the area of the circle which is 90 cm2.8.35 cm5.35 cm6.35 cm7.35 cm Q 2: Find the angle of the sector of a circle whose area is 7/4 of the circle.675°630°680°605° 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 these4.73 cm3.73 cm Q 4: Find the angle of the sector of a circle whose area is 5/12 of the circle.140°None of these150°160° Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!

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