Question

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).

Answer 1

I can't picture the shape.

Answer 2

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).

Answer 3

Where is this phrasing "search up" coming from? Just the word "search" is all you need.

Answer 4

still need help :L

Answer 5

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

Answer 6

at distance r from ellipse center semi height of ellipse is 2r