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1 cm त्रिज्या वाले 2 बराबर सिक्के एक दूसरे को स्पर्श करते हुए मेंज पर रखें हैं सिक्कों द्वारा घिरा क्षेत्रफल ज्ञात करें?
A. `((pi)/2-sqrt(3) cm^(2)`
B. `(sqrt(3)-(pi)/2) cm^(2)`
C. `(2sqrt(3)-(pi)/2) cm^(2)`
D. ` (3sqrt(3)-(pi)/2)cm^(2)`

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Correct Answer - B
प्रत्येक वृत्त की त्रिज्या `=1cm`
With all three centres an equilateral triangle of side 2 cm is formed.
सिक्कों द्वारा परिबद्ध क्षेत्रफल `=` (area of equilateral triangle) `3xx` (area of sector of angle `60^(@)`)
`=(sqrt(3))/4(2)^(2)-3xx60/360xxpi(1)^(2)`
`=(sqrt(3))/4xx4-3xx1/6xx pi`
`=(sqrt(3)-(pi)/2)cm^(2)`

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