Question

fig. consists of a rectangle and a semicircle. find its area and perimeter.

Answer 1

hope this answer was helpful

Answer 2

Answer:

Total area of the figure is 531.72 units²  and the perimeter of the figure is 127.96 unit .

Step-by-step explanation:

Formula

Area of the rectangle =  Length × Breadth

Perimeter of the rectangle = 2 (Lenght + Breadth)

$Area\ of\ a\ semicircle = \frac{\pi r^{2} }{2}$

$Circumference\ of\ a\ semicircle =\pi r$

Where r is the radius of the circle .

Length of the rectangle = 28 units

Breadth of the rectangle = 14 units

Radius of the semicircle = 14 units

As shown in the figure

$Total\ area\ of\ the\ figure= Area\ of\ a\ rectangle + Area\ of\ a\ semicircle$

$\pi =3.14$

$Total\ area\ of\ the\ figure=28\times 8 +3.14\times \frac{14\times 14}{2}$

$Total\ area\ of\ the\ figure=224+3.14\times 14\times 7$

$Total\ area\ of\ the\ figure=224+307.72$

Total area of the figure = 531.72 units²

$Total\ circumference\ of\ a\ figure = 2\times (28 + 8) + 3.14\times 14$

$Total\ circumference\ of\ a\ figure = 2\times 36 + 3.14\times 14$

                                                                 = 72 + 43.96

                                                                 = 115.96 unit

Therefore total area of the figure is 531.72 units² and the perimeter of the figure is 115.96 unit .