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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Geometry
4.23 The Area of a Sector - I

Example:
The radius of a circle is 28 cm. An arc AB subtends an angle of 105 at the center O. Find the area of the sector OAB.

Solution:
Given that,
r = 28 cm, and x = AOB = 105
The area of the sector OAB = (x / 360) * p * r2
= (105/360) * 22/7 * 28 * 28
= (7 * 22 * 14) / 3
= 2156/3
= 718 2/3 sq cm.


Directions: Read the above example carefully and answer the following questions. Also make 10 different examples of your own.
Q 1: An arc AB subtends an angle of 240 at the center O of a circle. Find the radius of the circle if the area of the sector OAB is given by 102.67 sq cm.
9 cm
8 cm
6 cm
7 cm

Question 2: This question is available to subscribers only!


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