Question

What is the area of a circle with the radius of 10.7

Answer 1

Answer: A = 359.68 cm²

Step-by-step explanation:

We need to calculate the area of a circle. The area of a circle is given by the formula
`\sf{A=\pi r^2}`, where r is the radius. In this case, r = 10.7 units.

Here's what the circle looks like:

`\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\small10.7\ units}\end{picture}`

`\sf{A=\pi*10.7^2}` {square the radius}

`\sf{A=\pi*114.49}` {multiply}

`\sf{A=359.68\:cm^2}`

Therefore, the area of this circle is 359.68 cm².

Answer 2

The area of the circle with a radius of 10.7 units is approximately 360.191 square units.

Step-by-step explanation:

The area of a circle is given by the formula A = πr², where A is the area and r is the radius of the circle. Plugging in the given radius of 10.7, we get: A = π(10.7)². Using a calculator to evaluate, the area of the circle is approximately 360.191 square units.

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