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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Geometry
4.27 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 a circle is given by 270. The area of the sector is 3/4 of the area of the circle which is 90 cm2.
5.35 cm
6.35 cm
8.35 cm
7.35 cm

Q 2: Find the angle of the sector of a circle whose area is 7/4 of the circle.
605
675
630
680

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 cm
3.73 cm
None of these
4.73 cm

Q 4: Find the angle of the sector of a circle whose area is 5/12 of the circle.
None of these
150
140
160

Question 5: This question is available to subscribers only!

Question 6: This question is available to subscribers only!


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