Question

The pairs of semicircles and the equilateral triangles in the figure are congruent. If the radius of the semicircle is "r" units, then what is the total area (in sq. units) of the given shape?

• A. $\left(2\sqrt{3}\pi \right)$ $\left(r^2\right)$
• B. $(2\sqrt{3}+\pi )$ $\left(r^2\right)$
• C. $(\frac{\sqrt{3}}{4}+\pi )$ $\left(r^2\right)$
• D. $(\frac{\sqrt{3}}{8}+\pi )$ $\left(r^2\right)$

Answer 1

The correct option is B $(2\sqrt{3}+\pi )$ $\left(r^2\right)$