# Length of an Arc Calculator

The length of any curve in a circle formed by the sector is called as the arc length. A portion of the circumference of the circle is the arc. If you cut a pizza into four shapes, the curved edge of one part is the arc. This is an online calculator to find the length of the arc formed in a circle with width and height of the curve.

The length of any curve in a circle formed by the sector is called as the arc length. A portion of the circumference of the circle is the arc. If you cut a pizza into four shapes, the curved edge of one part is the arc. This is an online calculator to find the length of the arc formed in a circle with width and height of the curve.

Code to add this calci to your website

### Example:

If the height of the arc is 1 m and width is 2 m.

#### Step 1 : Find the Radius

r = (h/2) + (w^{2}/(8h))
r = (1/2) + (2^{2}/(8x1))

= 0.5 + (4/8)

= 0.5 + 0.5

= 1

The radius is 1 m

#### Step 2 : Find the Center Angle of Arc

C = 2 tan^{-1}(w/(2×(r-h)))

if(C<0)

C = 360 + C
C = 2 tan^{-1}(2/(2 × (1-1)))

= 2 tan^{-1}(2/(2 × 0))

= 2 tan^{-1}(2/0)

= 2 tan^{-1}(∞)

= 2 × 90

C = 180

Round the result, center angle is 180°

#### Step 3 : Find Length of Arc

l = C × 2 Π r / 360
l = 180 × 2 Π * 1 / 360

= 3.14159

Arc Length is 3.14159 m