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2 years ago

The two circles shown above have radii of 8 in. and 4 in. What is the Circumference of the both?

Mathematics

1 answer:

Dmitry [639]2 years ago

6 0

Circumference of Circle 1 is 50.24 inches and Circumference of Circle 2 is 25.12 inches

Step-by-step explanation:

Radius of circle 1 = 8 inches

Radius of circle 2 = 4 inches

We need to find circumference of both circles.

The formula used to find the value of circumference is:

$Circumference=2\pi r$

Finding Circumference of Circle 1:

Radius = 8 inches

π = 3.14

Putting values and finding circumference

$Circumference=2\pi r$

$Circumference=2*3.14*8$

$Circumference=50.24\,\,inches$

Finding Circumference of Circle 2:

Radius = 4 inches

π = 3.14

Putting values and finding circumference

$Circumference=2\pi r$

$Circumference=2*3.14*4$

$Circumference=25.12\,\,inches$

So, Circumference of Circle 1 is 50.24 inches and Circumference of Circle 2 is 25.12 inches

Keywords: Circumference of Circle

Learn more about Circumference of Circle at:

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we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

in this problem we have

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Find the constant of proportionality k

$y/x=k$ -------> substitute ------> $k=12/5$

the equation is

$y=\frac{12}{5}x$

Remember that

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then

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Substitute the value of x and y in the direct variation equation

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$0=0$ -------> is true

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the point $(0,0)$ is on the line of direct variation

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Substitute the value of x and y in the direct variation equation

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therefore

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case D) point $(7.5,18)$

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Substitute the value of x and y in the direct variation equation

$18=\frac{12}{5}*7.5$

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case E) point $(12.5,24)$

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Substitute the value of x and y in the direct variation equation

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Substitute the value of x and y in the direct variation equation

$36=\frac{12}{5}*15$

$36=36$ -------> is true

therefore

the point $(15,36)$ is on the line of direct variation

therefore

the answer is

$(0,0)$

$(2.5,6)$

$(7.5,18)$

$(15,36)$

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