Answer:
Area of bigger circle = 36.32cm²
Step-by-step explanation:
Kindly find attached rough sketch for your reference
This problem bothers on the mensuration of flat shapes, a circle
Kindly find attached
Given data
Area of small circle =9cm³
Say we assume the all unit is in cm
From the diagram we can see that the diameter of the small circle is the radius of the bigger circle
So let us solve for the diameter of the small circle
9= πr²
r²=9/3.142
r²= 2.86
r=√2.86
r= 1.7cm
But diameter of small circle
d= 2r
d= 1.7*2= 3.4cm
Hence the radius of the bigger circle is 3.4cm
Area of bigger circle =πr²
=3.142*3.4²
=3.142*11.56
Area of bigger circle = 36.32cm²
