Question

a circular water well has diameter 75cm.it is surrounded by wooden decking of uniform width. the area of the wooden deck is 5.5cm^2.what is the width of decking?​

Answer 1

Step-by-step explanation:

Diameter of well is 75cm = .75meters

Radius of well = .75/2 = .375

Area of top of well = pi .375^2 = .4418 m^2

Area of top of well and decorative trim = .4418 + 5.5 = 5.94m^2

5.94 = pi r^2

1.89 = r^2

radius of well and trim = 1.375 meters

1.375 - .375 = 1 meter (is width of the timber)