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Malcolm wanted to build a dog run with an area of 64. What is the smallest perimeter the dog run could be

2 Answers

3 votes

Answer:

the shape with the most area with the smallest perimiter is the circle

first find the radius

then find the circumfernece(permiter)

so

area=64

shape=circle

area of circle=pi times r^2

pi times r^2=64

divide both sides by pi (aprox 3.141592)

r^2=20.3718

square root both sdies

r=4.5

circumference=2pi times r

2 times 3.141592 times 4.5=28.36

perimiter is 28.36

Explanation:

User Spandan Singh
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8.5k points
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the shape with the most area with the smallest perimiter is the circle
first find the radius
then find the circumfernece(permiter)
so
area=64
shape=circle
area of circle=pi times r^2
pi times r^2=64
divide both sides by pi (aprox 3.141592)
r^2=20.3718
square root both sdies
r=4.5

circumference=2pi times r
2 times 3.141592 times 4.5=28.36
perimiter is 28.36
User Tilman
by
8.1k points