Question

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

Answer 1

The area of the black portion = 219.752280681013 cm²

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