Find the area of this figure to the nearest hundredth. Use 3.14 to approximate pi.

(The figure is a right triangle conjoined to a semi-circle. The semi-circle's diameter is 8, the triangle's base is 6, the triangle's height is 8. )

Respuesta :

Answer:

49.12 square units

Step-by-step explanation:

Area of triangle = [tex]\dfrac{1}{2}*base *height[/tex]

                          [tex]=\dfrac{1}{2}*6*8=3*8 = 24 \ sq.units[/tex]

Circle:

d = 8 units

r = 8/2 = 4 units

[tex]Area \ of \ semicircle = \dfrac{1}{2}\pi r^{2}\\[/tex]

                                [tex]=\dfrac{1}{2}*3.14*4*4=3.14*2*4= 25.12 \ sq.units[/tex]

Area of the figure = area of triangle +area of semicircle

   = 24 + 25.12

    = 49.12 sq. units