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 \(C=36\pi\)
Circumference of circle is \(C=2\pi r\)
Substitute the value,
\(36\pi=2\pi r\)
\(r=18\)
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 \(A=\pi R^2\)
\(A=\pi 36^2\)
\(A=1296\pi\)
\(A=4069.44mm^2\)
Therefore, The area of the larger circle is 4069.44 millimeter square.
