Answer:
[tex]\pi 6.125 cm^{2} + 24.5cm^{2}[/tex] or [tex]43.74225cm^{2}[/tex]
Step-by-step explanation:
Formula for calculating area of a circle:
[tex]\pi r^{2} = a[/tex]
Formula for calculating area of a triangle:
[tex]\frac{w * h}{2} = a[/tex]
Formula for calculating radius from diameter:
[tex]\frac{d}{2} = r[/tex]
The left figure isn't a circle but a half circle, which (that the name indicates) is half a circle, and therefor also half the area of a circle. So the formula for calculating the area of a half circle is:
[tex]\frac{\pi r^{2} }{2} = a[/tex]
The right figure in the image is a triangle, so we can use the triangle-area-formula above for that:
[tex]\frac{7cm * 7cm}{2} = 24.5cm^{2}[/tex]
The diameter of the half circle is 7 cm which means that the radius is 3.5cm.[tex]\frac{\pi 3.5cm^{2} }{2} = \pi 6.125cm^{2}[/tex]
6.125*pi is about 19.24225 cm^2
Now we just have to add the two areas together to get the total area.
The exact answer is:
[tex]\pi 6.125 cm^{2} + 24.5cm^{2}[/tex]
The approximate answer is:
[tex]43.74225cm^{2}[/tex]
Hope i could help you understand!
If you have any questions, ask them in the comments below!
Have a good day (●'◡'●)
