Respuesta :
Formula for the area of a circle:
A = πr² [A = area r = radius]
The radius is [tex]\frac{1}{2}[/tex] (half) the diameter. Since the diameter = 10cm, the radius = 5cm.
You know:
r = 5cm Substitute/plug this into the equation
A = πr²
A = π(5)²
A = 25π -> A = 25(3.14)
A = 78.5cm²
The area of the circle when the diameter is 10 cm should be [tex]78.5\ cm^2[/tex].
Calculation of the area of the circle:
Since the diameter is 10 cm
We know that
The diameter should be
[tex]= \pi r^2\\\\= 3.14\times 5^2\\\\= 25\times 3.14\\[/tex]
= [tex]78.5\ cm^2[/tex]
Hence, The area of the circle when the diameter is 10 cm should be [tex]78.5\ cm^2[/tex].
Learn more about circle here; https://brainly.com/question/15673093