Question

Find an expression for the perimeter of the figure below.

Answer 1

note that each circle is marked with a R

Answer 2

are you able to find the perimeter of the cap?

Answer 3

no :(

Answer 4

ok.first thing which you have to realize is that the cap is semi circle and the perimeter of the semi circle is \[\pi r\] ok?

Answer 5

A white =4pi r^2 ?

Answer 6

is this figure 2-dimensional or 3-dimensional?

Answer 7

not sure

Answer 8

what do u mean

Answer 9

I mean that whether the cap is semicircle or hemisphere?

Answer 10

semicircle

Answer 11

ok.it means that it is 2 dimensional.

Answer 12

so perimeter of cap=\[2\pi r\] as its radius is 2r.I found it by taking the diameter of one of the circles.ok?

Answer 13

do you understand it?

Answer 14

ok

Answer 15

yes

Answer 16

now the only thing we need is the perimeter of the square.can you find the sides of square?

Answer 17

eaach is side is 4r

Answer 18

good.so the perimeter is 16r(4+4+4+4) and the answer is:\[16r+2\pi r\]

Answer 19

thanks akot