Answer:
a) Change in area = 0.72π m²
b) Estimated change in %age = 2%
Step-by-step explanation:
[tex]Initial\,\, radius = r = 6 m\\\\Final \,\,radius = r_1 = 6.06 m\\\\Change\,\, in\,\,radius = dr =6.06 - 6 = .06 m\\\\[/tex]
[tex]Area\,\,of\,\,circle= A=\pi r^2\\\\A=36\pi \,m^2\\\\Chang\,\, in\,\, area = dA= 2\pi r.dr\\\\dA=2\pi(6)(.06)\\\\dA=0.72\pi\,m^2\\\\Estimated\,\, \%age\,\, change=\frac{0.72\pi}{36\pi}\times 100\%\\\\=2\%[/tex]
