Question

Find the area of the flower bed (with semi-circular ends) shown in the figure.

• A. $(380+12.5\pi ){cm}^2$
• B. $(380+100\pi ){cm}^2$
• C. $(380+50\pi ){cm}^2$
• D. $(380+25\pi ){cm}^2$

Answer 1

The correct option is D $(380+25\pi ){cm}^2$

Observing the figure, we get to know that It contains one rectangle of dimensions $38$ cm $\times 10$ cm and two semi-circles of diameters $10$ cm.

Area of Figure $=$ Area of Rectangle $+2\times$Area of Semicircle

Area of Rectangle $=38\times 10=380{cm}^2$

Area of Semi-Circle $=\frac{\pi \times 5^2}{2}=\frac{25}{2}\pi {cm}^2$

Area of figure $=380+2\times \frac{25}{2}\pi =(380+25\pi ){cm}^2$

Hence, option D is the correct answer.