Abeanie hat is to be made from a piece of fabric and one square metre of this fabric weighs 470g.
the diagram shows the pattern for the beanie hat consisting of two identical semi-circles attached to a rectangle. how much will the fabric in this beanie hat weigh? give your answer in grams.

The hat weight = 81.166 g

Step-by-step explanation:

∵The figure formed by a rectangle and two identical semi-circle

∵ The length of the rectangle = 52 cm = 0.52 m

∴ 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 × 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

∵ 1 m² = 470 g

∴ The weight of the hat = 0.17269292 × 470 = 81.16567 ≅ 81.166 g