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Aptitude · Q48

Mensuration 2d

Competitive Exams · Aptitude · question 48

Q48

Two circles with centre A and B and radius 2 units touch each other externally at 'C'. A third circle with centre 'C' and radius '2' units meets other two at D and E. Then the area of the quadrilateral ABED is

A.
2√2 sq. units
B.
3√3 sq. units
Answer
C.
3√2 sq. units
D.
2√3 sq. units

Answer: Option B

Solution

Answer: Option B
Solution:
Mensuration 2D mcq question image
Area ABED = 3 × ar ΔADC
= 3 × (2)2 (ADC is an equilateral triangle)
= 3√3 units2