A straight boardwalk is being built over a circular wetlands area, so that it divides the area in half. A hiking path goes around the outside. The boardwalk is 50 m long. How long is the path that goes around the outside?

A circle is a curve sketched out by a point moving in a plane. The length of the path that goes around the outside of the circle is 157.08 meters.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

Given that the boardwalk divides the circle area in two half, and is straight with a length of 50 meters. Therefore, the straight broadwalk is the length of the diameter of the circle.

Now, the perimeter of the circle is the length of the path that goes around the outside. Therefore, the perimeter of the circle is,

Perimeter = π × Diameter

= π × 50 meters

= 157.07963 meters ≈ 157.08 meters

Hence, the length of the path that goes around the outside of the circle is 157.08 meters.

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