Jessica is designing a large, circular garden for a neighborhood park. A part of the garden will be occupied by a fountain. If the diameter of the garden is 82 meters and the measure of the angle formed by the fountain is 126°, what will be the approximate length of the garden cover by the fountain?

For this case what we should do is use the following relationship:

S = R * theta

Where

S: length of the garden covered by the fountain.

R: Garden radio

theta: angle formed by the source.

Substituting values we have:

S = (82/2) * ((126) * (pi / 180))

S = 90.16 m

Answer:

The approximate length of the garden cover by the fountain will be:

S = 90.16 m