QOTD | Quantitative Aptitude | Mensuration

Question of The Day11-12-2019

What is the area of the shaded region if the area of the square is 100 cm²?

qotd-11-dec-quant

Answer

Correct Answer : a ) 26 cm²

Explanation :

Considering the given figure

qotd-11-dec-quant

Given:

Area of the square (A_S) is = 100 cm² …… (1)

So,

Side of the square =

Thus, the Diameter of the circle will be 10 cm

Property: Angle subtended by the two ends of diameter with any other point on the circumference of a circle is always 90⁰.

So,

∠EGF = 90⁰

So,

In triangle EGF using Pythagoras theorem

(EF)² = (EG)² + (FG)²

EG =

EG = 8 cm

Therefore,

Area of the triangle EGF will be

So, the area of the shaded region will be

From equation (1) and (2) we get

Area of shaded region = 50 – 24

= 26 cm²

Hence, (a) is the correct answer.

Such type of question is asked in different government exams like SSC CGL, SSC MTS, SSC CPO, SSC CHSL, RRB JE, RRB NTPC, RRB GROUP D, RRB OFFICER SCALE-I, IBPS PO, IBPS SO, RRB Office Assistant,IBPS Clerk, RBI Assistant, IBPS RRB OFFICER SCALE 2&3, etc.

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