Find the angle in radians subtended at the center of a circle of radius 10 cm by an arc of length 15 cm. Also convert it to degrees.
Given r=10r = 10r=10, l=15l = 15l=15. θ=lr=1510=1.5 radians\theta = \frac{l}{r} = \frac{15}{10} = 1.5 \text{ radians}θ=rl=1015=1.5 radians
Convert to degrees: θ∘=1.5×180π≈1.5×57.29∘≈85.9∘\theta^\circ = 1.5 \times \frac{180}{\pi} \approx 1.5 \times 57.29^\circ \approx 85.9^\circθ∘=1.5×π180≈1.5×57.29∘≈85.9∘
The minute hand of a watch is 1.5 cm long. How far does its tip move in 40 minutes? (Use π=3.14\pi = 3.14π=3.14)
Standard Values:
sin 0 = 0, sin 30 = 0.5, sin 45 = 0.707, sin 60 = 0.866, sin 90 = 1
cos 0 = 1, cos 30 = 0.866, cos 45 = 0.707, cos 60 = 0.5, cos 90 = 0
Select an operation and enter values.