High School

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Joy has a square picture that is 4 inches on each side. The picture is framed with a length of ribbon. She wants to use the same piece of ribbon to frame a circular picture. What is the maximum radius of the circular frame?

Answer :

Step 1

we know that

The perimeter of a square is equal to

P=4*b

where

b is the length side of a square

Find the perimeter of the square picture

b=4 in

P=4*4=16 in

Step 2

Find the maximum radius of the circular frame

we know that

the perimeter of a square frame is equal to the circumference of the circular frame

the circumference is equal to

[tex]C=2\pi r[/tex]

[tex]16=2\pi r[/tex]

[tex]8=\pi r\\\\r=\frac{8}{\pi}[/tex]

r=2.5 in

therefore

the answer is

the maximum radius of the circular frame is 2.5 in

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Rewritten by : Barada