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Answer :
Answer: 314 square inches
Work Shown:
A = pi*r^2
A = 3.14 * 10^2
A = 3.14 * 100
A = 314 square inches
This value is approximate since pi = 3.14 is approximate.
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Rewritten by : Jeany
The area of the circle is :
↬ 314 in²
Work:
To calculate the circle's area, I will use the formula
[tex]\sf{C=\pi r^2}[/tex]
where
- C = circumference
- π = 3.14
- r = radius (10 inches)
Diagram:
[tex]\setlength{\unitlength}{1.1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 10\ inches}\end{picture}[/tex]
Plug in the values :
[tex]\begin{gathered}\sf{A=3.14\times10^2}\\\\\sf{A=3.14\times100}\\\\\boxed{\boxed{\bf{A=314\:in^2}}}\end{gathered}[/tex]