Consider the following circle of radius 5 centered at the or

Consider the following circle of radius 5 centered at the origin. Find the exact coordinates of the point P2. Find the length of the arc between the points P1 and P2.

Solution

a. p₂ (5 cos pi/3, 5sin pi/3) = (5/2,5sqrt3/2)

b. central angle = (pi - pi/3 -pi/2) = pi/2

Radius=5

Arc length ,s= radius* theta = 5 pi/2= 7.85