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[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?

Sagot :

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

How to determine the new area?

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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