Let us imagine that the big circle is completletly shaded and no smaller circles exist......the area of this circle = pi(3cm)^2 = 9pi cm^2
And the area of the 7 smaller congruent circles is 7*pi (1 cm)^2 = 7pi cm^2
And these are tangent to each other and to the larger circle
Then, the area of the shaded part left after the 7 smaller circles are inserted nto the larger circle =
pi ( [3cm]^2 - 7 [ 1cm]^2 ] =
pi [ 9 cm^2 - 7cm^2] =
2pi cm^2 ......this doesn't match any of the given answers......!!!!
[I tried to insert a picture of this but our image uploader isn't working]
Here's a pic of what you describe using Desmos.......https://www.desmos.com/calculator/cwrndrdb0x
