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Lionell created a picture to hang on his wall. The
drawing is below. Each circle has a radius of 8cm.
The circles touch each other and the ends of th
canvas. The background of Lionells picture is black. What
is the area of the black portion

Lionell created a picture to hang on his wall The drawing is below Each circle has a radius of 8cm The circles touch each other and the ends of th canvas The ba class=

Respuesta :

Answer:

The area of the black portion = 219.752280681013 cm²

Step-by-step explanation:

the canvas has the shape of a square

with sides of length 8×4 = 32 cm

Then

• The area of the canvas

= 32²

= 1024 cm²

•• The area of the four circles

= 4×(π×8^2)

= 804.247719318987 cm²

••• The area of the black portion

= 1 024 - 804.247719318987

= 219.752280681013 cm²

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