the figure shown is a rectangle with a semicircle on each end. what is the area of the figure? use 3.14 for
x.z-dn.net/?f=%5Cpi" id="TexFormula1" title="\pi" alt="\pi" align="absmiddle" class="latex-formula"> and round your answer to the nearest tenth. a. 76.3 , b. 104.5 in^2, c. 34.8 in^2, or d. 161.0 in^2? PLEASE HELP!
We have a rectangle with a semicircle on each end.
We can find the area by adding the areas of each figure
The area of the rectangle is
A = l*w
The length is 8 and the width is 6
A = 8*6 = 48
If we have 2 semicircles ( 2 1/2 circles, we have 1 circle since the diameters are the same)
The area of a circle is
A = pi r^2
The diameter is 6 so the radius is 1/2 of the diameter
r = 1/2 (6) =3
A = pi * (3)^2
A = (3.14) * 9
A = 28.26
The area of the total figure is the area of the rectangle plus the area of the two semicircles ( or 1 circle since the diameters of the semicircle is the same)