Answer:
a) The radius of the wheel is 1) more than 25.0 cm.
b) The radius of the wheel is approximately 40.925556... cm
Step-by-step explanation:
S = rθ is the formula to find the radius of the wheel using the arc and the angle discovered, S being the arc and θ the angle. The angle, however, must be in radians. θ = [tex]\frac{35\pi}{180}[/tex] is used to convert it. So:
θ = [tex]\frac{35\pi}{180}[/tex]
θ = [tex]\frac{7\pi}{36}[/tex]
S = rθ
25 = r [tex]\frac{7\pi}{36}[/tex]
900 = 7[tex]\pi[/tex]r
r = [tex]\frac{900}{7\pi }[/tex]
r = 40.925556... cm
