In figure 2, o is the center of the circle and b is a point on the circle. in rectangle oabc, if oa-5 and oc -6, what is the area of the circle? a) 11 pie b) 25 pie c) 36 pie d) 61 pie

We will use the following two facts:

1) Since ABCO is a rectangle, the two diagonals AC and OB are the same length

2) Since O is the center of the circle and B is a point on the circumference, OB is a radius of the circle.

We can compute the length of AC, since we know the length of OA and OC: in fact, OAC is a right triangle of which we know the two legs. So, we have

Invoking the point (1), we can deduce that

The area of a circle is given by the following formula:

And by point (2), we know that OB is a radius, so we have

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step-by-step explanation: