High School

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What is the area of a circle with a radius of 10 inches? Use 3.14 for pi.

A. 31.4 in²
B. 62.8 in²
C. 314 in²
D. 628 in²

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]

Hence, the circle's area is 314 in².