20.9k views
2 votes
Please help??

The equation of a standard pitcher’s mound in baseball is (x+5)^2+(y+7)^2=81. The diameter of the pitcher’s mound is____ units

User Damorin
by
8.8k points

1 Answer

5 votes

The equation (x+5)^2 + (y+7)^2=81 is a variation of a circles standard formula (x - h)^2 + (y - k)^2 = r^2

To find the diameter you must first know the radius.

In this question the radius is 9.

9^2 = 81

The diameter is composed of the length of two radii, this means that the equation to find the diameter when the radius is known is (let diameter be D and radius be r): D = 2r

D = 9 * 2

D = 18

The diameter is 18 units

Hope this helped!

~Just a girl in love with Shawn Mendes

User Bill Armstrong
by
8.6k points