What is the area of the circle with center O?

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In the figure above, arc QRO is a semicircle. What is the area of the circle with center O?

1) The area of the triangle PQO is 30.
2) The length of QRO is 2.5Ï€.

The OA is C.

To calculate the area of the circle with center O, we need to know the radius PO.

1) 1/2 *QO * PO = 30. QO unknown => no way to know PO.

2) know QO. But how to know PO? No way.

(1) + (2) => know QO => know PO => know area. Hence C is the correct answer.