The Area of the Non-blacked out area

Level 2

What is the area (in cm^2 and to the nearest integer) of the remaining non-blacked out area if the radius of the big circle is 28 cm?

2430 cm 1009 cm 1901 cm 4074 cm

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1 solution

X X
Jul 22, 2018

The area of the big rectangle is 56 × 84 = 4704 56\times 84=4704 ,the area of the circles are ( 2 8 2 + 1 4 2 + 1 4 2 ) π = 1176 π (28^2+14^2+14^2)\pi=1176\pi ,so the area is 4704 1176 π 1009 4704-1176\pi\approx1009

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