Question

The area (in $c{m}^2$) of the largest triangle that can be inscribed in a semicircle of radius $rcm$ is:

• A. $\frac{1}{3}\pi r^2$
• B. $2r^2$
• C. $r^2$
• D. $\frac{1}{2}\pi r^2$

Answer 1

The correct option is C $r^2$

The largest triangle that can be made from a semi-circle will have:
Base $=2r$
Height $=r$
where, $r$ be the radius of semicircle.
Area of $\Delta =\frac{1}{2}\times$ Base $\times$ Height $=\frac{1}{2}\times 2r\times r=r^2$