Respuesta :

The area of the quarter circle with radius 3ft is [tex]7.065 ft^2[/tex]

Area of a quarter circle is given by the formula:

[tex]Area = \frac{\pi r^2}{4}[/tex]

Where r represents the radius of the circle

In the quarter circle shown, the radius, r = 3 feet

π  =  3.14

Substitute π = 3.14 and r = 3 into the formula [tex]Area = \frac{\pi r^2}{4}[/tex]

[tex]Area = \frac{3.14 \times 3^2}{4}\\\\Area = \frac{3.14 \times 9}{4}\\\\Area = \frac{28.26}{4}\\\\Area = 7.065 ft^2[/tex]

The area of the quarter circle with radius 3ft is [tex]7.065 ft^2[/tex]

Learn more here: https://brainly.com/question/25843249