Question

Points X and Y lie on (circle)P so that PX = 5 meters and mXPY = 90. Find the length of XY to the nearest hundredth.

(there is no picture)
answer choices: 15.71 m, 3.93 m, 7.85 m, 19.63 m

Answer 1

Explanation:

all that means is that the radius is 5 meters, and that we are looking for the length of the circle arc that represents 90° of the whole circle (360°).

90/360 = 1/4

so, we need 1/4 of the circle circumference :

2×pi×r × 1/4 = 2×pi×5 × 1/4 = pi×10/4 = pi × 5/2 =

= 7.853981634... m

therefore, the third answer is correct.