A rectangle of length ‘x’ and breadth ‘y’ is inscribed in a semi-circle of fixed radius ‘r’ as shown in the figure given below.
Based on the above information answer the following question:
Area A(θ), 0 < θ < \(\frac{π}{2}\) of the rectangle ABCD, is
Answer & explanation
Correct answer: option 2
$x = 2r\, cosθ$
$y = r\, sinθ$
Area(ABCD) = $2r^2cosθsinθ$
$=r^2sin2θ$
Option B is correct.