Hello, My name is Christina and I'm in 12th grade taking Math Anlyasis. The problem is The points (3,4), (9.2), and (3,2) define a circle and a triangle.
If you could get back to me as soon as possible, i would greatly apprciate it. If i could at lease get the formula(if there is one) on how to find the area of a circle that could at least get me started. Thank you Hi Christina,
This first thing that you should do is draw a diagram. I labeled the three points A, B and C. From the diagram notice that the distance between B and C is 12 units and the point A is 6 units above the line joining B and C. The midpoint (3,2) of the line segment BC (I called it P), is thus 6 units from each of A, B and C. Hence the circle with center P and radius 6 passes through A, B and C. The area of a circle of radius r is Pi x r^{2} and hence the area of this circle is Pi x 6^{2} which is 36 x Pi square units. The area of a triangle is ^{1}/_{2} x base x height and thus the area of the triangle ABC is ^{1}/_{2} x 12 x 6 which is 36 square units. Can you complete the problem now?Penny
