Question

Determine the surface area of the curb. Do not include the area of the ends in the calculation. 30 4 m 150 mm 150 mm 100 mm 150 mm

Answer 1

Calculate the arc length at the mean position of the curb.

$L=r \theta\\ =(4+0.15)(30* \frac{\pi}{180}\\ =2.173 m$

Calculate the volume of the curb.

$V= A_c *L\\ =(0.3*0.15+ \frac{1}{2}*0.15*0.1)*2.173\\ =0.114 m^3$

Calculate the surface area excluding the area of the ends.

$A_s= Perimeter \times L\\ = (0.25+0.3+0.15+0.15+ \sqrt{0.15^2+0.1^2})*2.173\\ =2.238 m^2$