The standard height from the floor to the bull's-eye at which a standard dartboard is hung is 5 feet 8 inches. A standard dartboard is 18 inches in diameter.

Suppose a standard dartboard is hung at standard height so that the bull's-eye is 11 feet from a wall to its left.

Samuel throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5.5 feet above the floor.

Does Samuel's dart land on the dartboard?

oscar.a1551 Jan 17, 2020

#1**+2 **

Standard form of circle (x-h)^2 + 9y-k)^2 = r ^2 where (h,k) is the center ....

the DIAMETER is 18 so the radius is 9 INCHES 9 INCHES = 3/4 ft r^2 = 9/16

now look at the answers that have this part 1st or 3rd one

(remember to keep everything in feet or in inches (feet is easier) )

The CENTER of the circle is now at (x,y) = (11, 5 2/3) because 5 ft 8 in = 5 2/3 ft (this was given in the Q)

this will be (h,k) which equation fits this (the first or third)????

This should get you started........

ElectricPavlov Jan 17, 2020