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What is the area of a circle with a radius of 10 inches? use 3. 14 for pi. 31. 4 in² 62. 8 in² 314 in² 628 in².

2 Answers

7 votes

The area of the circle is :

↬ 314 in²

Work:

To calculate the circle's area, I will use the formula


\sf{C=\pi r^2}

where

  • C = circumference
  • π = 3.14
  • r = radius (10 inches)

Diagram:


\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}

Plug in the values :


\begin{gathered}\sf{A=3.14*10^2}\\\\\sf{A=3.14*100}\\\\\boxed{\boxed{\bf{A=314\:in^2}}}\end{gathered}

Hence, the circle's area is 314 in².

User Yansigner
by
8.1k points
2 votes

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.

User Paul Maserrat
by
8.7k points