Question

Your new job requires you to calculate the material costs for manufactured goods. One of goods you manufacture is a fabric sample in the shape of a circle. Given the formula A = r², find the area (A) of the fabric sample whose radius (r) is 8.4 x 100 ft. Round your answer to the nearest thousandth. (Use 3.14 for π)

Answer 1

Solution.

Given that the fabric sample is in a shape of a circle

`Area\text{ of a circle =}\pi r^2`
`Given\text{ that r=8.4 x 10}^0\text{ ft}`
`\begin{gathered} Area\text{ of the circle = }\pi\text{ x \lparen8.4 x 10}^0\text{\rparen}^2 \\ Area=\text{ 3.14 x 8.4 x 8.4} \\ Area\text{ = 221.5584ft}^2 \\ Area\text{ of the fabric=221.558ft}^2(nearest\text{ thousandth\rparen} \end{gathered}`

The answer is 221.558 ft^2