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RIYAZ KHAN

· started a discussion

· 1 Months ago

wrong question (Question: 108518.0 )

wrong que

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

ABHII

· commented

· 1 Months ago

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

Pranay SB

· commented

· 1 Months ago

Given answer is correct only. Enclosed means 'the area within'. Here, it is the shaded part.
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