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

Step-by-step 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:

`(90)/(360)=(1)/(4)`

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

`(1)/(4)(2\pi r)=(1)/(4)(10\pi)=(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}`