# Area of the Largest Triangle that Can Be Inscribed in a Semi-circle of Radius R Units is - Mathematics

MCQ

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

#### Options

• rsq. units

• $\frac{1}{2}$

•  2 rsq. units

• $\sqrt{2}$

#### 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 r2
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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 13 Areas Related to Circles
Q 49 | Page 74