Question

A square and a semicircular region have the same perimeter. If the length of the radius of the semicircular region is 16, what is the length of one side of the square?

Answer 1

@Hero

Answer 2

@Luigi0210

Answer 3

perimeter (circumference) of circle is ?

Answer 4

you know ?

Answer 5

A semi circle is half circle

Answer 6

pi(radius)^2

Answer 7

That is the area

Answer 8

thats the area of circle
i asked for circumference

Answer 9

Perimeter = 2*pi*radius

Answer 10

circumference(diameter)

Answer 11

you know what circumference is ?

Answer 12

Do u mean pi*diameter

Answer 13

oh yeah @UditKulka

Answer 14

well then that's full circle what is for half circle (semi-circle)?

Answer 15

well then that's full circle what is for half circle (semi-circle)? @ineedhelp10

Answer 16

wouldny i just need to divide it by to get the semicircle?

Answer 17

by 2 , yes

Answer 18

Divide it by 2 + the diameter

Answer 19

So, pi*r + 2r r= radius 2r gives the diameter right????

Answer 20

perimeter of semicircular region = \[\pi r + 2r = 3.14 \times 16 + \times 16 =50.24+32= 82.24 \]
But according to the question
perimeter of square = perimeter of semicircular region
i.e.
perimeter of square = 82.24 units
let the side of the square be a
4a = 82.24\[a= \frac{82.24}{4}= 20.56\]
Hence length of the side of the square is 20.56 units

@ineedhelp10

Answer 21

@hartnn sory for giving full solution..

Answer 22

http://www.algebra.com/algebra/homework/Surface-area.faq.question.223686.html

Answer 23

so the perimeter formula for a semicircle is pi(r)+2r? @dpasingh

Answer 24

yes

Answer 25

ineedhelp10 yes dear