Question

there are 7 shaded circles in one large blank circle (8 circles are shown). The shaded circles are congruent. If each circle in the pitcture is tangent to each of its neighbor circles, what is the ratio of the total area of the seven shaded regions to the area of the largest circle? Express your answer as a fraction.

picture of circles below (ones inside are shaded)

Answer 1

http://www.google.com/imgres?q=there+are+eight+circles+in+the+picture+below.&hl=en&biw=1283&bih=600&tbm=isch&tbnid=iAtcnwI_fo-pJM:&imgrefurl=http://www.illustrativemathematics.org/illustrations/34&docid=LRWCvsPP9BeZcM&imgurl=http://s3.amazonaws.com/illustrativemathematics/images/000/000/477/medium/8_circles_stem_7e983822f8062cd1ee1319c3b0a6da3f.jpg%253F1331670997&w=300&h=300&ei=ulAWUozgO_S64AODoIDoDQ&zoom=1&ved=1t:3588,r:4,s:0,i:93&iact=rc&page=1&tbnh=168&tbnw=168&start=0&ndsp=17&tx=88&ty=114

Answer 2

???

Answer 3

thank you for your help :)

Answer 4

is it right

Answer 5

each smaller circle (assuming the picture to be accurate) has a diameter of 1/3 the larger circle:

so just calculate the area of the larger circle and the area of 9times a small circle

Answer 6

lol, 7 small circles, not 9

Answer 7

okay thank you!