What is the central angle of the sector

Question:

What is the central angle of the sector (in the above pie chart) representing hormones enzymes and other proteins.

(a) 120o 

(b) 144o 

(c) 156o 

(d) 176o

Solution:

(b) 144o

Distribution of protein in the skin = 1/10

Distribution of protein in the bones = 1/6

Distribution of protein in the Muscles = 1/3

Central angle of the sector representing skin, muscles and bones,

= 1/10 + 1/6 + 1/3

= (3 + 5 + 10)/30

= 18/30 × 360o

= 216o

Then,

Central angle of the sector representing hormones enzymes and other proteins,

= 360o – 216o

= 144o

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