IKMC 2019 - Grades 9-10 - Set 2 - Self-study Question 21

Question 21

A square has two vertices on a semicircle and the other two on its diameter. The circle radius is 1 cm. What is the square’s area?

Question illustration

$\frac45\,\mathrm{cm}^2$
$\frac\pi4\,\mathrm{cm}^2$
$1\,\mathrm{cm}^2$
$\frac43\,\mathrm{cm}^2$
$\frac2{\sqrt3}\,\mathrm{cm}^2$