Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

#### Online Quiz (WorksheetABCD)

Questions Per Quiz = 2 4 6 8 10

### Geometry4.27 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 the circle is given by 240°. Also the area of the sector is 2/3 times the area of the circle which is 70 cm2.3.73 cmNone of these4.73 cm5.73 cm Q 2: Find the angle of the sector of a circle whose area is 5/12 of the circle.160°140°150°None of these Q 3: 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 cm2.6.35 cm7.35 cm5.35 cm8.35 cm Q 4: Find the angle of the sector of a circle whose area is 2/5 of the circle.144°134°None of these154° Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!