Question

Find the area of a circle with a radius of 7. Use π = 3.14 and round your answer to the nearest hundredth.​

Answer 1

153.86 units²

Explanation:

You need to find the area of a circle, given that its radius is 7.

I am going to apply the formula:

A = πr²

whereas -

• A = area
• π = the number pi
• r = radius

here's a diagram for reference -

`\setlength{\unitlength}{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 7\ cm}\end{picture}`

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Plug all the data into the formula:

A = 3.14 * 7^2

A = 3.14 * 49

A = 153.86

`\bigstar` Therefore, the area is 153.86 units²