Arc Length and Circumference

C = πd or C = 2πr, where d is the diameter and r is the radius.

Arc length (L) can be calculated using the formula L = (θ/360) * C, where θ is the central angle in degrees and C is the circumference.

The diameter (d) is twice the radius (r): d = 2r.

The area (A) of a circle is given by the formula A = πr², where r is the radius.

The radius is half of the diameter: r = 16.4 m / 2 = 8.2 m.

To express the length of an arc in terms of pi, calculate the arc length using the formula and leave the answer in terms of π.

The area of a sector (A) can be calculated using A = (θ/360) * πr², where θ is the central angle in degrees.

Leaving answers in terms of pi provides an exact value rather than a decimal approximation.

To find the length of an arc, multiply the circumference by the fraction of the circle represented by the arc's central angle.

The central angle is the angle whose vertex is at the center of the circle and whose sides intersect the circle.