A rubber band is strung around six circles (each with radius r cm).
a) Show that the area of the shape is given by the expression r^2(12+6√3+π).
b) Show that the total length of the rubber band is given by the expression 2r(6+π).
6 answers
I can't picture the shape.
My bad, sorry, should have given more information.
Anyways, the shape is supposedly shaped like a hexagon (2 circles on top 2 circles on the bottom, and one circle in the left and right middle to form a hexagon). If you still can't picture it, search up "6 circles shaped like a hexagon in Google Images," and it's the 6th picture on the first row (ignore the hexagon in the middle of the picture).
Anyways, the shape is supposedly shaped like a hexagon (2 circles on top 2 circles on the bottom, and one circle in the left and right middle to form a hexagon). If you still can't picture it, search up "6 circles shaped like a hexagon in Google Images," and it's the 6th picture on the first row (ignore the hexagon in the middle of the picture).
Where is this phrasing "search up" coming from? Just the word "search" is all you need.
still need help :L
length of semi ellipse on one end = 2r+rsqrt3 =a
at distance r from ellipse center semi height of ellipse is r
find height of ellipse at center
r^2/[(2+sqrt3)^2r^2] + 4r^2/b^2 = 1
then
area = pi a b
at distance r from ellipse center semi height of ellipse is r
find height of ellipse at center
r^2/[(2+sqrt3)^2r^2] + 4r^2/b^2 = 1
then
area = pi a b
at distance r from ellipse center semi height of ellipse is 2r
2 answers