Respuesta :

profparis

Answer:

452.39

Step-by-step explanation:

area of circle = [tex]\pi r^{2}[/tex]

area of semi circle is [tex]\pi r^{2}[/tex] divided by 2 (because a semi circle is half of a circle)

diameter = 2 x radius, and radius = half of diameter

so

radius = 24 / 2 = 12

[tex]12^{2}[/tex] x π = 452.389342

to nearest hundredth = 452.39

Hope this helps. If you need any further explanation, let me know!

- profparis

if i helped you, i would appreciate a brainliest :D

semsee45

Answer:

266.19 in²

Step-by-step explanation:

[tex]\sf Area\:of\:a\:circle=\pi r^2[/tex]  (where r is the radius of the circle)

As a semicircle is half a circle

[tex]\implies \sf Area\:of\:a\:semicircle=\dfrac12\pi r^2[/tex]

From inspection of the diagram, we can see that the diameter (the widest part of a circle) is 24 in.

[tex]\sf Radius\:of\:a\:circle\:(r)=\dfrac12diameter[/tex]

Therefore, the radius of the circle = 24 ÷ 2 = 12 in

Substitute r = 12 into the equation for the area of a semicircle:

[tex]\begin{aligned}\implies \sf Area\:of\:a\:semicircle & =\dfrac12\pi 12^2\\ & =\dfrac12 \cdot \pi \cdot 144\\ & = 72\pi \\ & = 266.19\: \sf in^2 \:(nearest\:hundredth)\end{aligned}[/tex]

Otras preguntas