Answer:
The area of the larger circle is 4069.44 millimeter square.
Step-by-step explanation:
Given : The circumference of one of the smaller circles is 36 pi mm.
To find : The area of the larger circle?
Solution :
Circumference of the smaller circle is [tex]C=36\pi[/tex]
Circumference of circle is [tex]C=2\pi r[/tex]
Substitute the value,
[tex]36\pi=2\pi r[/tex]
[tex]r=18[/tex]
The radius of smaller circle is 18 mm.
The radius of larger circle is twice the radius of smaller circle.
Radius of the larger circle, R= 2(r)=2(18)=36 mm
Area of the larger circle is [tex]A=\pi R^2[/tex]
[tex]A=\pi 36^2[/tex]
[tex]A=1296\pi [/tex]
[tex]A=4069.44mm^2[/tex]
Therefore, The area of the larger circle is 4069.44 millimeter square.
