A drone takes off from the school courtyard located at the origin. It is programmed not to fly more than 12 meters away. Write the equation representing the maximum flying boundary.

A circular restricted area is centered at (0,0) with radius 10 meters. A person stands at point (6,8). Determine whether the person is inside, on, or outside the restricted area.

An art installation has equation 𝑥2 + 𝑦2 + 4𝑥 − 10𝑦 − 20 = 0. A visitor is standing at point (3, 1). Determine whether the visitor is inside, on, or outside the circular boundary.

A circular flower garden is designed with its center at the origin and diameter 18 meters. Write the equation of the garden’s boundary.

The landing area is given by: (𝑥 + 7)2 + (𝑦 + 3)2 = 16. Sketch the zone.

A robot operates within a circular boundary centered at (2,3) with radius 5 meters. The robot is currently at (6,6). Is it inside, on, or outside the boundary?

A circular fountain is built at the center of a park located at coordinate (0,0). The water sprays up to 6 meters in all directions. Write the equation of the fountain’s boundary.

A radar system is installed at coordinate (0,0). It can detect objects within a radius of 150 km. Write the equation representing the radar detection area.

A circular water tank is centered at (–5, 2) with a radius of 10 meters. Write the equation in general form.

A radar system covers a circular area described by 𝑥2 + 𝑦2 − 6𝑥 + 8𝑦 − 11 = 0. An aircraft is located at point (1, –2). Determine whether the aircraft is inside, on, or outside the radar coverage.