Answer:
D) [tex]8100\pi[/tex] in²
Step-by-step explanation:
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Question:
A circle has an area of 225[tex]\pi[/tex] square inches. If the radius of the circle is multiplied by 6, then what is the area of the new circle?
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
area of a circle = [tex]\pi r^2[/tex] (where r is the radius)
⇒ [tex]\pi r^2=225\pi[/tex] in²
If the radius is multiplied by 6, then r = 6r
⇒ area = [tex]\pi (6r)^2=36\pi r^2[/tex]
Therefore, if [tex]\pi r^2=225\pi[/tex]
then [tex]36\pi r^2 = 36 \times 225\pi =8100\pi[/tex]
