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The greatest area is that of a circle of circumference 48cm which is approximately 183.35 cm2.

circumference = 2 x π x radius

⇒ radius = circumference/2π

area = π x radius2

= π x (circumference/2π)2

= circumference2 ÷ (4π)

= (48 cm)2 ÷ (4π)

= 576/π cm

≈ 183.35 cm2

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12y ago

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