Respuesta :

The area of a circle is pi * radius^2 (radius squared). The area of a rectangle is l*w. Using the formula for the circle, we get that the area is about 50.24 (assuming you're using 3.14 for pi). The area of the rectangle is 24. Add these together and you get 74.24, which rounds to 74 cm^2
varshamittal029

The area of the given figure to the nearest sqaure unit is given by (D) 49 sq.cm.

What is Area?

Area of a figure suggests that the geometrical figure spreads over on how much place.

If the length of rectangle is l and width is w then the area of the rectangle (A) is given by,

A = l*w

If the radius of a semicircle is r then the area of the semicircle (A) is given by,

[tex]A=\frac{1}{2}\pi r^2[/tex]

In the given figure, the upper part is a semicircle and lower part is a rectangle.

Length of rectangle is 8 cm and width of the rectangle is 3 cm.

Then the area of the rectangle = 8*3 = 24 sq. cm

The diameter of the circle is 8 cm.

then the radius of the semicircle is = 8/2 = 4 cm

Hence the area of the semicircle [tex]=\frac{1}{2}\pi4^2=\frac{1}{2}\pi.16=8\pi\approx25.13[/tex] sq. cm.

So the total area of the given figure = 24 + 25.13 = 49.13 sq. cm.

Aprroximating area to nearest number we get 49 sq. cm.

Hence the correct option is (D).

Learn more about Area here -

https://brainly.com/question/25292087

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