Question 1054961: Hi
a circle is drawn on a number plane with the centre at (3,2) the circumference passes thru (3,-2)
What is the area of the circle.
now I used the distance formula and found the radius to be the square root of -16!
The textbook solution says the radius is 4 units.
where did I go wrong?
Thanks
Found 3 solutions by ikleyn, josgarithmetic, MathTherapy:
Answer by ikleyn(53765)   (Show Source):
Answer by josgarithmetic(39800)  (Show Source):
You can put this solution on YOUR website! RADIUS:
Distance from (3,2) to (3,-2).
You can do this one in your head and without the Distance Formula. Literally SEEING that radius is 4 units should be immediate. You stepped wrong in maybe how you applied the distance formula.
radius,  ---------------compute this!
Answer by MathTherapy(10810)  (Show Source):
You can put this solution on YOUR website!
Hi
a circle is drawn on a number plane with the centre at (3,2) the circumference passes thru (3,-2)
What is the area of the circle.
now I used the distance formula and found the radius to be the square root of -16!
The textbook solution says the radius is 4 units.
where did I go wrong?
Thanks
where did I go wrong?
When you computed the distance, you got: 
Looking at the equation, 16 IS NOT = r, but  instead. Therefore, you have to take the square root of 16 to find r. This is 4. Understand?
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