SOLUTION: a circle has a center at (8,2). The point (3,7)is in the circle. What is the area of the circle to the nearest tenth of a square unit?

Algebra ->  Circles -> SOLUTION: a circle has a center at (8,2). The point (3,7)is in the circle. What is the area of the circle to the nearest tenth of a square unit?      Log On


   

Question 990516: a circle has a center at (8,2). The point (3,7)is in the circle. What is the area of the circle to the nearest tenth of a square unit?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The radius, r , of a circle is the distance between any point on the circumference, and the center of the circle.
In this case, the point (3,7) must be at a distance r from point (8,2), and
r%5E2=%288-3%29%5E2%2B%282-7%29%5E2=5%5E2%2B%28-5%29%5E2=25%2B25=50 .
The area of a circle with radius r is pi%2Ar%5E2 ,
so the area of the circle in the problem is
pi%2A50=+highlight%28about+170.8%29 (rounded to the nearest tenth of a square unit).