Mathematics: How will the circumference of the circle change if it is dilated by a scale factor of 4? the circumference will be 4 times greater than the original. the circumference will be 16 times greater than the original. the circumference will be 1/4 the original. the circumference will be1/16 the original.

The area of a circle is pi times the radius squared (A = π r²). Learn how to use this formula to find the area of a circle when given the diameter.Step-by-step explanation:...

How will the circumference of the circle change

Ответ:

jonmorton159

04.01.2022

Mathematics

The circumference will be times greater than the original

Step-by-step explanation:

we know that

The circumference of a circle is equal to

$C=2\pi r$

where

r is the radius of the circle

In this problem we have

The radius of the original circle is

$r1=16\ cm$

The circumference of the original circle is equal to

$C1=2\pi (16)=32\pi\ cm$

If the circumference is dilated by a scale factor of

then

the radius of the dilated circle will be

$r2=4*16=64\ cm$

and the circumference of the dilated circle will be

$C2=2\pi (64)=128\pi\ cm$

C2=4C1

therefore

The circumference will be times greater than the original

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How will the circumference of the circle change if it is dilated by a scale factor of 4?

the circumference will be 4 times greater than the original.
the circumference will be 16 times greater than the original.
the circumference will be 1/4 the original.
the circumference will be1/16 the original.

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