Question

How many minor sectors are there in the figure given below? 

• A. 32
• B. 22
• C. 24
• D. 16
• E. 20

Hint:

Each pair of adjacent radii forms a minor sector; also consider sectors formed by non-adjacent radii if they create smaller arcs.

Answer 1

Answer: (E)

Step 1: Understanding Sectors: 
A minor sector is the smaller region bounded by two radii and an arc. 
Count all such sectors formed by the radii in the circle shown in fig. 

Step 2: Counting Method: 
If there are \(n\) radii, the number of minor sectors is equal to the number of distinct arcs between consecutive radii. 
Based on the figure, the total is 20.