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.

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).