If the dimensions of a circle are tripled, the area of the resulting circle will also be three times larger. True False

Respuesta :

Answer:

False. The dimensions of the resulting circle will be 9 times as large

Explanation:

The only dimension a circle has is its radius , r

The area of a circle is given by π[tex]r^{2}[/tex]

if the radius is tripled, the new radius will become 3r.

hence the new area will become

π ×[tex](3r)^{2}[/tex]

= 9π[tex]r^{2}[/tex]

Hence, the new area will be 9 times as large.

Answer: False.

Explanation:

For both parallelograms and circles, if the dimensions change by a certain factor, then the perimeter (or circumference) changes by the same factor; and, the area changes by the square of the factor.

Hope this helps!