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# If the area of a circle is 75.7ft2, what is the radius? Give the answer in metres. Round answer to 2 decimal places and enter the units.

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## Answer to a math question If the area of a circle is 75.7ft2, what is the radius? Give the answer in metres. Round answer to 2 decimal places and enter the units.

Maude
4.7
To find the radius $$r$$ of a circle when given the area $$A$$, you can use the formula: $A = \pi r^2$ Given that the area of the circle is $75.7 \, \text{ft}^2$, you can set up the equation: $75.7 = \pi r^2$ To find $r$, divide both sides by $\pi$: $r^2 = \frac{75.7}{\pi}$ Now, take the square root of both sides: $r = \sqrt{\frac{75.7}{\pi}}$ Using a calculator to get the numerical value: $r \approx \sqrt{\frac{75.7}{3.14159}}$ $r \approx \sqrt{24.11}$ $r \approx 4.91$ So, the radius is approximately 4.91 feet. Now, you want to convert this to meters. Since 1 foot is approximately 0.3048 meters: $r \approx 4.91 \, \text{ft} \times 0.3048 \, \text{m/ft}$ $r \approx 1.4967 \, \text{m}$ Therefore, the radius is approximately 1.50 meters $rounded to 2 decimal places$.
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