Question

A circular park of 28m diameter has been constructed .A3.5m circular track outside has been developed along the park using algebraic formula, find the area of the track around the park

Answer 1

Diameter of the circular park =d=28m
Radius of the park =r=d/2=28/2=14m
Width of the track outside the park =w=3.5m
Radius of the outer circle =R=r+w=14+3.5=17.5m
Area of the track =outer circle area -inner circle area
=pi×R^2 - pi×r^2
=pi(R^2-r^2)
=pi(R+r)(R-r)
=pi(R+r)w
=22/7 ×(17.5+14)(3.5)
=(22×31.5×3.5)/7
=22×31.5×0.5
=346.5 square meters