surafealwoldeamlak surafealwoldeamlak

03-02-2021
Mathematics

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A semicircle is drawn on each side of a square, as shown. The square has sides of length 2 π . What is the area of the resulting shape?

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danielseavey01 danielseavey01

03-02-2021

Answer:

We know that area of semi circle of radius r is

2

πr

2

and area of square od side a is a

2

Given that:

Side of square =2 cm

Total area = Area of square+ 4×Area of semi circle

Total area =2

2

+ 4×

2

π×2

2

⇒(4+8π) cm

2

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