Answer:
78.5 cm^2
Step-by-step explanation:
the circle's diameter is 10cm --> its radius is 5cm
the area of the circle is 5^2 x 3.14 = 78.5cm^2
The area of circle is [tex]25\pi[/tex] square units.
What is the formula for area of circle?
The area of a circle is given by [tex]\pi r^{2}[/tex] where r is the radius of the circle.
The given circle is inscribed in a square. so, the side length of the square will be the diameter d of the circle.
So, d=10.
Divide diameter d by 2 to get the radius of the circle.
[tex]r=\frac{10}{2}[/tex]
So, r=5.
Substitute 5 for r into the formula of area of circle.
[tex]\pi \cdot5^{2}=25 \pi[/tex]
Therefore, the area of circle is [tex]25\pi[/tex] square units.
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