A bridge over a river has the shape of a circular arc. The span of the bridge is 24 meters. (The span is the length of the chord of the arc.) The midpoint of the arc is 4 meters higher than the endpoints. What is the radius of the circle that contains this arc

20 meters

Step-by-step explanation:

Seeing the image attached, we can observe that there is a triangle formed by half of the chord of the arc, the radius (hypotenusa) and part of the radius (r-4). Using pythagoras theorem in this triangle, we have:

(r-4)^2 + 12^2 = r^2

r^2 - 8r + 16 + 144 = r^2

8r = 160

r = 20

So the radius of the circle that contains this arc is 20 meters.

step-by-step explanation: