MCQ

Area of the largest triangle that can be inscribed in a semi-circle of radius *r* units is

#### Options

*r*sq. units^{2 }\[\frac{1}{2}\]

2

*r*sq. units^{2 }\[\sqrt{2}\]

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#### Solution

Area of a triangle = \[\frac{1}{2} \times \text{ base } \times \text{ height }\]

\[\Rightarrow \text{ Area } = \frac{1}{2} \times \left( 2r \right) \times r = r^2\]

So, the area of the largest triangle that can be inscribed in a semi-circle of radius

*r*is*r*^{2}Concept: Area of Circle

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