31.02 mm.
Step-by-step explanation:
Step 1:
The area of the given circle is 240.48 π sq mm
We need to find the diameter of the circle
Step 2:
The formula for obtaining the area of any circle is π*r² where r represents the radius of the circle
We know that the diameter of circle is 2 times its radius.
Hence equating the formula of the area of the circle to the given value we can find its radius. Then multiplying the radius by 2 , we get the diameter.
Step 3 :
Using the above method , we have
πr² = 240.48 π
=> r² = 240.48 π / π = 240.48
=> r = √240.48 = 15.51 approximately
Hence the diameter of the given circle is 2 * 15.51 = 31.02 mm.