SOLUTION: A piece of a broken plate was dug up in an archeological site. It was put on top of a grid with the arc of the plate passing thru A(-7,0),B(1,4) and C(7,2). Find its center and the

Question 1039299: A piece of a broken plate was dug up in an archeological site. It was put on top of a grid with the arc of the plate passing thru A(-7,0),B(1,4) and C(7,2). Find its center and the standard equation of the circle describing the boundary of the plate.
How will I solve this? I already got the midpoints. Please help me. Thank you.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
try this.

http://www.mathopenref.com/trianglecircumcenter.html

you need to find the circumcenter of the triangle and that will be the center of the circle that circumscribes it.

once you find the center, you should be able to derive the equation of the circle, the general form of which is (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the centerof the circle and r^2 is the square of the radius of the circle.

RELATED QUESTIONS
In an archaeological site, a piece of a broken plate was dug up. It was put on top of a... (answered by MathLover1)

A piece of broken plate was dug up in an archaeological site. It was put on top of a grid (answered by Alan3354)

A broken plate was dug up in a certain site. It was put on top of a grid with the plate's (answered by Alan3354)

I have a plate of whole cookies. I gave Tim half of what was on the plate, plus half of a (answered by josmiceli)

I have a plate of WHOLE cookies; I gave Jodie half of what was on the plate, plus half of (answered by Earlsdon)

THE SUM OF THE AGES OF A CHINA PLATE AND A GLASS PLATE IS 16 YEARS. FOUR YEARS AGO, THE... (answered by Fombitz)

A square metal plate of side length 2 feet and negligible thickness rests on a table top... (answered by greenestamps)

Fundraising. The St. Mark�s Community Barbecue served 250 dinners. A child�s plate cost... (answered by jojo14344)