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एक वर्ग के अंदर एक वृत बनाया गया `4sqrt(3)` सेमी. भुजा वाला एक समबाहु त्रिभुज उस वृत के अंदर बनाया गया। वर्ग का विकर्ण ज्ञात करें?
A. `4sqrt(2)`
B. `8`
C. `8sqrt(2)`
D. `16`

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Correct Answer - C
image
समबाहु त्रिभुज की भुजा `=4sqrt(3)`
त्रिभुज की परिवृत्त त्रिज्या `=(“side”)/(sqrt(3))=(4sqrt(3))/(sqrt(3))=4`
कृपया आकृति देखें।
वर्ग की भुजा
`=2xx` परिवृत्तत्रिज्या `=2xx4=8`

image
वर्ण का विकर्ण
`=8sqrt(2)cm^(2)`

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