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Alekssandra [29.7K]
3 years ago
12

Why is the answer B? Plz explain.

Mathematics
1 answer:
Ivanshal [37]3 years ago
6 0

Step One

Develop a formula for the perimeter.


Argument

What you see is a semicircle going upwards and another one going downwards. Two semicircles =1 circle.


The "perimeter" [Circumfrence] of a whole circle = 2*pi*r


We are told that whatever you call this the perimeter is 8pi + 16


Step Two

Set up the equation

8pi + 16 = 2*pi*r + 4r Including the line connecting these two.


Step Three

Take out the common factors on the left and right.


8(pi + 2) = 2r(pi + 2) Divide both sides by pi + 2

8 = 2r Divide by 2

4 = r


Sorry. I didn't know the meaning of perimeter. Mathmate is perfectly correct.

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