Question 67

The area of the largest triangle that can be inscribed in a semi-circle of radius 4 cm in square centimetres is

Solution

The largest triangle inscribed in a semi circle is as shown in the figure

Given, radius of the semi circle = 4

Area of the traingle = $$\frac{1}{2}$$ x PQ x OS = $$\frac{1}{2}\times8\times4$$ = 16 cm$$^2$$

Hence, the correct answer is Option D

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