On a distant planet, a 20º central angle intercepts an arc of 4067 miles. What is the radius of the planet at its equator?
The radius of the planet is
miles. (Simplify your answer.)

11,682.4 miles

Step-by-step explanation:

We can think the planet as a circle:

if we have a circle of radius R, and an arc of A degrees in the circle, the lenght of the arc is:

L = (A/180°)*3.14*R

Here we know that:

L = 4076 miles

A = 20°

Then:

4076mi = (20/180)*3.14*R = 0.3489*R

R = 4076mi/0.3489 = 11,682.4 miles

10.416 m/s

step-by-step explantion:

distance=100m

time= 9.6s

average speed=100/9.6

=10.416 m/s