Geometric Questions Answers

Geometry - Quant/Math - CAT 2008

Question 4 the day: April , 2003

The question for the day is from the topic of Geometry.

Find the area of the sector covered by the hour hand after it has moved through 3 hours and the length of the hour hand is 7cm.

(1)	77 sq.cm			(2)	38.5 sq.cm
(3)	35 sq.cm			(4)	70 sq.cm

Correct Answer - (2)

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Solution:


If the hour hand moved through 12 hours, it subtends 360⁰ at the centre of the clock.

i.e., in 12 hours it makes 360⁰,

Therefore, in 3 hours it makes (3/12) x 360 = 90⁰

We know that length of the hour hand 'r' = 7cm

Therefore, area of sector = (D⁰/360⁰) x pi r² = (90/360) x (22/7) x 49 = 38.5 sq.cm