Question

Find the area of the Shaded region use ,3.14. note that the top of the figure is a semicircle

Answer 1

The area is 20.5632 cm sq.

Lets break it down:

Triangle- the area of a triangle is bh/2 (base×height÷2). If we plug in the numbers, the base is 4.8 and the height is 4.8. 4.8×4.8= 23.04÷2= 11.52

Semi circle- the area of the semi circle is pi×radius×radius. We have the diameter (4.8) so we would need to divide 4.8 by 2 to get 2.4. 2.4×2.4×3.14= 18.0864. We need to divide that by 2 because its a semi circle so 18.0864÷2= 9.0432

11.52+9.0432= 20.5632 cm sq.

hope this helps!

Answer 2

The answer is 20.5632 cm squared
To find this the first step would be to figure out the triangles area. The formula for that is .5(bh). In this case that would be .5(4.8x4.8) which equals 11.52.

Then, you have to find the area of the circle. The formula for this would be $\pi r x^{2}$ (pie times the radius squared). The radius is not given so you divide the diameter (4.8) by two. This gives you 2.4. 2.4 squared is 5.76. 5.76 times 3.14 is 18.0864. Because it's a semicircle you must also divide 18.0864 by 2. This equals 9.0432.

Adding the two areas gives you 20.5632 cm squared.