A single lane street 10 ft wide goes through a semicircular tunnel at the edge of each lane? Round off 2 decimal places

Answer 1

You did not write the radius of the tunnel.

The equation of circle in the tunnel is:

x² + y² = r²

y = the height of the tunnel

r = the radius of the tunnel.

The intersection of the circle and x = 10 / 2 ft , x = 5 ft

x² + y² = r²

5² + y² = r²

25 + y² = r²

Subtract 25 to both sides

y² = r² - 25

y = √ ( r² - 25 )

and round on 2 decimal places