a curved baseball infield has a radius of 110 feet and opens at an angle pf 90 degrees find the length of the curved boundary

Question

The questions is about baseball which I know nothing about n its geometry. Its about curved ball and it's 110 feet and opens at a angle of 90 degrees 

Answer 1

The arc that you describe is ¼ of the circumference of a circle having radius 110 ft.  Now you can do the problem.

Answer 2

The figure you describe is a sector.  You're asked to find the length of the segment bounded by the parameters given.

 

So, we know that the circumference of the circle described is: 

 

2πr = 2 * 3.14 * 110 ft = 690.8ft.

 

Now, a 90 degree angle defines a sector of the circle that is one-fourth of the entire circle (since a circle is defined as 360 degrees).

 

So, the sector segment in question has a length one-fourth of the entire circle.

 

.25 * 690.8ft = 172.7 ft.