In the following diagram, the point R is the center of the circle. The lines…

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In the following diagram, the point R is the center of the circle. The lines PQ and ZV are tangential to the circle. The relation among the areas of the squares, PXWR, RUVZ and SPQT is

Circle centered at R with horizontal diameter Q–R–Z and downward radius RU. Square SPQT lies to the left: S upper left, P upper right, Q lower right, T lower left; its right side PQ is tangent at Q. Square RUVZ lies below and right of R: R upper left, U lower left, V lower right, Z upper right; its right side ZV is tangent at Z. Tilted square PXWR has P at its left vertex, X at its top vertex, W at its right vertex and R at its bottom vertex. Every labelled vertex and all three square boundaries are drawn in black.
  1. A.

    Area of SPQT = Area of RUVZ = Area of PXWR

  2. B.

    Area of SPQT = Area of PXWR − Area of RUVZ

  3. C.

    Area of PXWR = Area of SPQT − Area of RUVZ

  4. D.

    Area of PXWR = Area of RUVZ − Area of SPQT

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