Saturday

April 18, 2015

April 18, 2015

Posted by **Anonymous** on Tuesday, April 24, 2012 at 6:05pm.

I know the answer is supposed to be 550 ft, but I keep coming up with the wrong answer. I found the midpoint of (-220, 220) and (0, 0) which is (-110, 110). Its perpendicular bisector is y = (1/2)x +165, if I did it correctly. I also found the midpoint of (0, 0) and (200, 40), which is (100, 20). I got y = -5x + 520 for its perpendicular bisect. Using those two equations, I found the intersect/center of the circle, (710/11, 2170/11). But when I use the distance formula with that point and (0, 0) to find the distance/radius, I get about 207.5, and the diameter about 415. What did I do wrong?

- Math: Distance and Midpoint -
**Steve**, Tuesday, April 24, 2012 at 6:25pmAlas, things have gone awry.

The slope of the line from (-220,220) to (0,0) is -1. So, the slope of the perpendicular bisector (pb) is 1. The equation of the pb is thus

(y-110) = (x+110)

y = x + 220

The slope of the line from (0,0) to (200,40) is 40/200 = 1/5. The pb slope is thus -5. The pb equation is

(y-20) = -5(x-100)

y = -5x +520

The two pb's intersect at (50,270)

so, it looks like the circle is

(x-30)^2 + (y+30)^2 = 75400

sqrt(75400) = 274.59 or about 275

diameter would thus be 550.

- Math: PS -
**Steve**, Tuesday, April 24, 2012 at 6:26pmOops. The equation is

(x-50)^2 + (y+-270)^2 = 75400

other values were from a spurious incorrect solution.

- Math: Distance and Midpoint -
**Anonymous**, Tuesday, April 24, 2012 at 6:36pmOH! It was the first pb that got me. Whoops, thank you so much!

**Answer this Question**

**Related Questions**

Maths - 1. In the xy-coordinate plane, point A is the midpoint of the segment ...

summer math hw - one circle has a diameter of 10 inches. a second circle has a ...

Geometry midpoint formula - A circle on the Coordinate plane has a diameter with...

math, HELP ME PLEASE!!! - Circle O has a circumference of 220 meters. What is ...

math, HELP ME PLEASE!!! - Circle O has a circumference of 220 meters. What is ...

Math, Algebra - Circle O has a circumference of 220 meters. What is the ...

math - the number of noncollinear points needed to determine a circle Two. The ...

Math - The points (4, –5) and (– 4, 1) are endpoints of a diameter of a circle...

algebra - Circle O has a circumference of 220 meters. What is the approximate ...

math - can u help this the qustion is : A circle passes through the points (1,4...