Question

Need help answer this question 74: 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.

Answer 1

Explanation:

According to the problem, the radius of the given circle is 5 meters. We are looking for the length of the circle arc that represents 90° of the whole circle: that is:

$\frac{90}{360}=\frac{1}{4}$

then, we need 1/4 of the circle circumference (2πr). Thus, we get the following expression:

$\frac{1}{4}(2\pi r)=\frac{1}{4}(10\pi)=\frac{5}{2}\pi$

this is equivalent to:

$7.853981634\text{ m}$

then, we can conclude that the correct answer is:

Answer:$7.85\text{ m}$