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kow [346]
3 years ago
11

If the diameter of a circle is 20mm, what is the area of the circle?

Mathematics
1 answer:
Vsevolod [243]3 years ago
3 0

Answer:

314.16 sq mm

Step-by-step explanation:

formula for area of a circle = pi(r^2)

if the diameter is 20mm then the radius is 10 mm

When you plug in pi(10mm^2) you get 314.16 sq mm

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\displaystyle\\
\begin{cases}
R_1 = 3R_2\\
\pi R_1^2 +\pi R_2^2=12\pi ~~~\Big|~~:\pi 
\end{cases} \\  \\ 
\begin{cases} 
R_1 = 3R_2\\
R_1^2 + R_2^2=12 
\end{cases} \\  \\ 
(3R_2)^2+ R_2^2=12 \\  \\ 
9R_2^2 + R_2^2=12 \\  \\ 
10R_2^2=12\\\\
R_2^2 = \frac{12}{10} = \frac{6}{5}  \\  \\ 
R_2 =  \boxed{\sqrt{\frac{6}{5}} } \\  \\ 
R_1 = \boxed{3\sqrt{\frac{6}{5}} }



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