Akoni, a painter, painted a circular helicopter landing pad one color. Next, she painted over a 3-meter radius circle in the center, in a different color. If the second coat of paint covered an area half the size of the first coat, which of the following is most nearly the radius of the landing pad?

The area of the circle is given as the portion enclosed within the closed circle of the specified radius r. The area of a circle is given as:

Area of circle = πr²

The complete question is given in the image attached.

The area of the smaller circle painted inside the helicopter landing pad of radius of 3 meters is:

Area of smaller circle = π(3)² m²

Area of smaller circle = 9π m²

The area of the helicopter landing pad is double the area of the smaller circle. The area of the helicopter landing pad is calculated as:

Area of landing pad = 2 * area of smaller circle

Area of landing pad = 2 * 9π m²

Area of landing pad = 18π m²

The radius of the landing pad can be given as:

18π = πr²

r² = 18

r = 4.24 m

Thus, the nearest radius of the landing pad of the helicopter is 4 m. Hence, option C is correct.

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