Question

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.

Answer 1

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.

Answer 2

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.