A) \[{{r}^{2}}\]sq units
B) \[\frac{1}{2}{{r}^{2}}\]sq units
C) \[2{{r}^{2}}\]sq units
D) \[\sqrt{2}{{r}^{2}}\]sq units
Correct Answer: A
Solution :
Take a point C on the circumference of the semi-circle and join it by the end points of diameter A and B. \[\therefore \,\,\,\,\angle C=90{}^\circ \] [by property of circle] [angle in a semi-circle are right angle] So, \[\Delta ABC\]is right angled triangle. \[\therefore \] Area of largest \[\Delta ABC=\frac{1}{2}\times AB\times CD\] \[=\frac{1}{2}\times 2r\times r\] \[={{r}^{2}}\]sq unitsYou need to login to perform this action.
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