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ABCD is a square, inside which 4 circles with radius 1 cm, each are touching each other. What is the area of the shaded region?
- a)(2π-3) cm2
- b)(4-π) cm2
- c)(16-4π) cm2
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
ABCD is a square, inside which 4 circles with radius 1 cm, each are to...
No the correct answer is ( 16-4π)cm^2
Radius of circle is = 1, so diameter is = 2×1= 2 cm
So,as. per diagram
Sum of diameter of two circles is equal to side of square
now,
area of shaded region is: a^2 - 4 (πr^2)
4^2 - 4( π 1^2 )
16 - 4π. cm^2
Radius of circle is = 1, so diameter is = 2×1= 2 cm
So,as. per diagram
Sum of diameter of two circles is equal to side of square
now,
area of shaded region is: a^2 - 4 (πr^2)
4^2 - 4( π 1^2 )
16 - 4π. cm^2
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ABCD is a square, inside which 4 circles with radius 1 cm, each are touching each other. What is the area of the shaded region?a)(2π-3) cm2b)(4-π)cm2c)(16-4π)cm2d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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