Question

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

Answer 1

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$r^{2}$

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

hence the new area will become

π ×$(3r)^{2}$

= 9π$r^{2}$

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