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2 years ago

[urgent] the area of a circle is 40. if the circle is dilated by a scale factor of 3, how much does the area grow?

Mathematics

1 answer:

AlladinOne [14]2 years ago

5 0

The area of the circle grows by a factor of 9, and the actual area is 360

<h3>How to determine the new area?</h3>

The given parameters are:

Old area = 40

Scale factor = 3

When the circle is dilated, the new area becomes

New area = Old * (Scale factor)^2

Substitute 3 for scale factor

New area = Old * 3^2

Evaluate the exponent

New area = Old * 9

This means that the area of the circle grows by a factor of 9, and the actual area is:

New area = 40 * 9 = 360

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