Multiple choice

Directions: The following problem contains a question and two statements giving certain data. You have to decide whether the data given in the statements is sufficient for answering the question. What is the area of the parallelogram inscribed in a circle? (A) The sum of the two sides of the parallelogram is 10 cm. (B) Area of the circle is 75 cm2.

  1. If statement (A) alone is sufficient but statement (B) alone is not.

  2. If statement (B) alone is sufficient but statement (A) alone is not.

  3. If both statements (A) and (B) together are sufficient but none of them alone is sufficient.

  4. If both statements (A) and (B) independently are sufficient.

  5. If both statements (A) and (B) together are not sufficient.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Area of a parallelogram inscribed in a circle is only possible if it is a rectangle. The diagonal of the rectangle is the diameter of the circle. Statement (B) gives the area of the circle (pi*r^2), which gives the radius and diameter. Statement (A) gives the sum of sides (L+W). With diagonal (D) and L+W, we can find L*W (Area) using (L+W)^2 = L^2+W^2+2LW = D^2+2Area. Both are needed.

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