A beanie hat is to be made from a piece of fabric and one square meter of this fabric weights 470g. The diagram shows the pattern of the beanie hat consisting of two identical semi-circles attached to a rectangle. How much will the fabric in this beanie hat weigh?
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The hat weight t = 81.166g
Step-by-step explanation:
The figure formed by a rectangle and two identical semi-circle
The length of the rectangle = 2 cm = 0.52m
The length of the two diameter = 52 cm =
0.52 m
The radius of the semi-circle = 52 -4 = 13 cm
= 0.13 m
The width of the rectangle = 36-13 =23 cm =
0.23 m
The area of the rectangle = 0.52 x 0.23 =
0.1196 m²
The area of the semi-circles = π (0.13)² =
0.0531 m²
The area of the hat = 0.1196 + 0.0531 =
0.17269292 m²
1m ^ 2 = 470g
The weight of the hat = 0.17269292 x 470 = 81.16567 = 81.166 g
Hope it helps!
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