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17 Oct 2020, 10:43
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Difficulty:
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75% (01:17) correct
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What is the area of the shaded portion if the perimeter of the square is 32? (The four circles are tangent to each other and the square, and are congruent.)
(A) 64 – 64π
(B) 32 – 16π
(C) 64 – 16π
(D) 64 – 8π
(E) 32 – 4π
Attachment:
2020-10-17_21-40-45.png [ 45.7 KiB | Viewed 2383 times ]
17 Oct 2020, 10:50
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The circles are congruent and they are tangent to the square.
Perimeter = 32
=> side = 8
=> 4r = 8
=> r =2
Shaded area = 64-4*pi*2^2
=> 64-16*pi^2 (c)
Perimeter = 32
=> side = 8
=> 4r = 8
=> r =2
Shaded area = 64-4*pi*2^2
=> 64-16*pi^2 (c)
17 Oct 2020, 10:57
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What is the area of the shaded portion if the perimeter of the square is 32? (The four circles are tangent to each other and the square, and are congruent.)
Side = 8 ; Dia of each circle = 4
Area of the circles = 4* ( pi*4)
area of square = 64
64-16*pi
Side = 8 ; Dia of each circle = 4
Area of the circles = 4* ( pi*4)
area of square = 64
64-16*pi
