From a square metal sheet of side 28cm, a circular sheet is cut off .Find the radius of the largest possible circular sheet that can be cut. AIso find the area of the remaining sheet
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Answered by
232
Side of square = 28 cm
So the radius of the largest possible circle = 14 cm
Area of remaining sheet = area of square - area of circle
Area of remaining sheet = 28 × 28 - 22/7 × 14 × 14
Area of remaining sheet = 784 - 616
Area of remaining sheet = 168 sq cm
So the radius of the largest possible circle = 14 cm
Area of remaining sheet = area of square - area of circle
Area of remaining sheet = 28 × 28 - 22/7 × 14 × 14
Area of remaining sheet = 784 - 616
Area of remaining sheet = 168 sq cm
Answered by
67
Answer-
Diameter of largest circle that can be cut is 28cm. (see picture)
So radius = 28/2 = 14cm
Area of remaining sheet = area coloured
=area of square - area of circle
=28² - π×14²
=784 - 615.44
=168.56 cm²
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