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Roshani Singh

· started a discussion

· 1 Months ago

option 1/3 (Question: 108518.0 )

how to decide between 1st and 3rd.

Question:
Three coins of equal radius (each 1 cm.) are placed on a table in such a way that they touch each other. Find the area enclosed by the coins.
Options:
A) \(\left ( \cfrac {\pi}{2}-\sqrt[]{3} \right )\)cm2
B) \(\left ( 2\sqrt[]{3} - \cfrac {\pi}{2}\right )\)cm2
C) \(\left ( 3\sqrt[]{3} - \cfrac {\pi}{2}\right )\)cm2
D) \(\left ( \sqrt[]{3} - \cfrac {\pi}{2}\right )\)cm2
Solution:
Ans: (d)


Required area 

= Area of \(\Delta\)ABC – 3\(\pi\) (Area of sector ADE)

=  \(\sqrt{3}-\cfrac{3\pi (1)^2 \times 60^o}{360^o}\)    =  \(\left ( \sqrt{3}-\cfrac {\pi}{2} \right )\) cm2

Abhinav Sinha

· commented

· 1 Months ago

Dear student,
Please read the question and solution properly.
Keep learning,
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