Three circle of radius 3.5 cm are placed in such away that each circle touches the other two the area of the portion enclosed by the circle is- 3.5 सेमी. त्रिज्या के वृत्तों को इस प्रकार रखा गया है, कि प्रत्येक वृत्त दूसरे दो वृत्तों को स्पर्श करता है। वृत्तों के द्वारा बन्द भाग का क्षेत्रफल है-
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1 cm3/सेमी3
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2 cm3/सेमी3
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3 cm3/सेमी3
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4 cm3/सेमी3
B
Correct answer
Explanation
Three circles of radius 3.5 cm touch each other. Their centers form an equilateral triangle of side 7 cm. Area enclosed = area of equilateral triangle - 3 × area of 60° sector. Triangle area = (√3/4) × 7² ≈ 21 cm². Each sector area = (60/360) × π × 3.5² ≈ 6.4 cm². Enclosed area = 21 - 3 × 6.4 ≈ 2 cm². Note: units should be cm², not cm³ as written.