SOLUTION: If line AC is tangent to circle O at point B , OC=65 and BC=60,What is the area of the square that would circumscribe the circle (heres a link to a diagram if you need it) http:/

Question 270754: If line AC is tangent to circle O at point B , OC=65 and BC=60,What is the area of the square that would circumscribe the circle
(heres a link to a diagram if you need it)
http://www2.edmastery.com/files/nnds_prod_data/itemAssets/nnds_li%20-%20production%5Cjalberth%5C102.JPG
Found 2 solutions by solver91311, JBarnum:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Construct circle radius OB. Since any tangent is perpendicular to the radius at the point of tangency, OB is perpendicular to BC. Therefore OBC is a right triangle. Then the measure of OB can be calculated, with a nod and a tip of the hat to Mr. Pythagoras:

But the radius of a circle is one half of the measure of the side of a circumscribed square, so the side of the circumscribed square is

And then the area of the circumscribed square is the measure of the side squared or:

You can do your own arithmetic.

John

Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
this really isnt that bad looks like...what??...but if u find the radius of the circle double it to make the diameter and then square the diameter u will get the area of a square that would enclose the circle.
so u have a triangle with 2 sides so u need to find the 3rd side using according to the pic OC is the hypotenus we want to find OB

so now the radius of the circle is 25 double it and then 2 it to find the area

is the area of the square.
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