What is the maximum area of a rectangle which can be inscribed in a circle of radius 2 cm?
Answer & explanation
Correct answer: option 2
Radius of circle = 2 cm
the rectangle having diagonal as the diameter of the circle.
if a,b are sides of rectangle then,
a2+b2=42=16
area(A)=ab=a√(16−a2) sq. unit
for area to be maximum,
dA/da=0
a=√8
maximum area(A)=√8×√8
The correct answer is Option (2) → $8 cm^2$