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Find the diameter of a circle with an area of804.25 cm?.Find the radius of a circle with a circumferenceof 28.27 km.

Find The Diameter Of A Circle With An Area Of80425 CmFind The Radius Of A Circle With A Circumferenceof 2827 Km class=

Sagot :

The area A of a circle with radius r is given by:

[tex]A=\pi r^2[/tex]

Substitute A = 804.25 cm² into the equation above.

Therefore,

[tex]\begin{gathered} 804.25=\pi r^2 \\ Hence \\ r^2=\frac{804.25}{\pi} \\ r=\sqrt{\frac{804.25}{\pi}}\approx16.00 \end{gathered}[/tex]

The diameter d of a circle of radius r is given by:

[tex]\begin{gathered} d=2r \\ \end{gathered}[/tex]

Substituting r = 16, it follows that:

[tex]d=2\left(16\right)=32cm[/tex]

Therefore, the diameter of the circle is 32 cm.

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