Question

Lionel 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 the canvas. The background of Lionel’s picture is black. What is the area of the black portion?

Answer 1

Answer:

219.7522cm^2

Step-by-step explanation:

To find area of black portion, we will find the area of the whole square first.

Length of square = 4xRadius of circle

= 4 x 8cm

= 32cm

Area of Square = Length x Width = 32x32

= $1024cm^{2}$

Now we find the area of the 4 circles.

Area of 4 circles = 4 x Area of circle

= $4\pi r^{2}$

= $4\pi (8)^{2} \\=4\pi (64)\\=256\pi cm^{2}$

Area of black portion = Area of square - Area of 4 circles

= $1024cm^{2} -256\pi cm^{2}$

= $219.7522cm^{2}$

Answer 2

Answer:

888888

Step-by-step explanation:

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