The area of this semi-circle is 38.28 [tex]\rm cm^2[/tex] and this can be determined by using the formula of area of the semi-circle.
Given :
The diameter of the semi-circle is 10 cm.
The area of the circle is given by the formula:
[tex]\rm A = \pi r^2[/tex]
where r is the radius of the circle.
So, the area of the circle whose radius is 5cm is given by:
[tex]\rm A = \pi\times (5)^2[/tex]
[tex]\rm A= 25\pi[/tex]
The area of the circle is 25[tex]\pi[/tex] then the area of the semicircle whose radius is 5cm is given by:
[tex]\rm A_S = \dfrac{25}{2}\pi[/tex]
[tex]\rm A_S = 12.5\pi[/tex]
Now, substitute the value of [tex]\pi[/tex] in the above equation.
[tex]\rm A_S = 12.5\times 3.142[/tex]
[tex]\rm A_S = 39.28\;cm^2[/tex]
For more information, refer to the link given below:
https://brainly.com/question/22964077
