Answer:
D = 31 mm
Step-by-step explanation:
The area of a circle, A = 240.25π sq mm
We need to find the diameter of a circle.
The formula for the area of a circle is given by :
[tex]A=\pi r^2\\\\r=\sqrt{\dfrac{A}{\pi}}[/tex]
If D is the diameter of the circle, D = 2r
So,
[tex]\dfrac{D}{2}=\sqrt{\dfrac{A}{\pi}} \\\\D=2\times \sqrt{\dfrac{A}{\pi}} \\\\=2\times \sqrt{\dfrac{240.25\pi }{\pi}}\\\\=2\times 15.5\\\\=31\ mm[/tex]
So, the diameter of the circle is equal to 31 mm.
