Sector Perimeter from Radius and Angle (Degrees) Reference Values

Calculate sector perimeter from radius and central angle in degrees.

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Last updatedFebruary 22, 2026

PublishedFebruary 22, 2026

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Sector Perimeter from Radius and Angle (Degrees) reference values
Scenario	Sector Perimeter
1 units Radius; 0 deg Central Angle (Degrees)	2 units
1 units Radius; 15 deg Central Angle (Degrees)	2.261799 units
1 units Radius; 30 deg Central Angle (Degrees)	2.523599 units
1 units Radius; 45 deg Central Angle (Degrees)	2.785398 units
1 units Radius; 60 deg Central Angle (Degrees)	3.047198 units
1 units Radius; 90 deg Central Angle (Degrees)	3.570796 units
1 units Radius; 120 deg Central Angle (Degrees)	4.094395 units
1 units Radius; 150 deg Central Angle (Degrees)	4.617994 units
1 units Radius; 180 deg Central Angle (Degrees)	5.141593 units
1 units Radius; 210 deg Central Angle (Degrees)	5.665191 units
1 units Radius; 240 deg Central Angle (Degrees)	6.18879 units
1 units Radius; 270 deg Central Angle (Degrees)	6.712389 units
1 units Radius; 300 deg Central Angle (Degrees)	7.235988 units
1 units Radius; 330 deg Central Angle (Degrees)	7.759587 units
1 units Radius; 360 deg Central Angle (Degrees)	8.283185 units
2 units Radius; 0 deg Central Angle (Degrees)	4 units
2 units Radius; 15 deg Central Angle (Degrees)	4.523599 units
2 units Radius; 30 deg Central Angle (Degrees)	5.047198 units
2 units Radius; 45 deg Central Angle (Degrees)	5.570796 units
2 units Radius; 60 deg Central Angle (Degrees)	6.094395 units
2 units Radius; 90 deg Central Angle (Degrees)	7.141593 units
2 units Radius; 120 deg Central Angle (Degrees)	8.18879 units
2 units Radius; 150 deg Central Angle (Degrees)	9.235988 units
2 units Radius; 180 deg Central Angle (Degrees)	10.283185 units
2 units Radius; 210 deg Central Angle (Degrees)	11.330383 units
2 units Radius; 240 deg Central Angle (Degrees)	12.37758 units
2 units Radius; 270 deg Central Angle (Degrees)	13.424778 units
2 units Radius; 300 deg Central Angle (Degrees)	14.471976 units
2 units Radius; 330 deg Central Angle (Degrees)	15.519173 units
2 units Radius; 360 deg Central Angle (Degrees)	16.566371 units
5 units Radius; 0 deg Central Angle (Degrees)	10 units
5 units Radius; 15 deg Central Angle (Degrees)	11.308997 units
5 units Radius; 30 deg Central Angle (Degrees)	12.617994 units
5 units Radius; 45 deg Central Angle (Degrees)	13.926991 units
5 units Radius; 60 deg Central Angle (Degrees)	15.235988 units
5 units Radius; 90 deg Central Angle (Degrees)	17.853982 units
5 units Radius; 120 deg Central Angle (Degrees)	20.471976 units
5 units Radius; 150 deg Central Angle (Degrees)	23.089969 units
5 units Radius; 180 deg Central Angle (Degrees)	25.707963 units
5 units Radius; 210 deg Central Angle (Degrees)	28.325957 units
5 units Radius; 240 deg Central Angle (Degrees)	30.943951 units
5 units Radius; 270 deg Central Angle (Degrees)	33.561945 units
5 units Radius; 300 deg Central Angle (Degrees)	36.179939 units
5 units Radius; 330 deg Central Angle (Degrees)	38.797933 units
5 units Radius; 360 deg Central Angle (Degrees)	41.415927 units
10 units Radius; 0 deg Central Angle (Degrees)	20 units
10 units Radius; 15 deg Central Angle (Degrees)	22.617994 units
10 units Radius; 30 deg Central Angle (Degrees)	25.235988 units
10 units Radius; 45 deg Central Angle (Degrees)	27.853982 units
10 units Radius; 60 deg Central Angle (Degrees)	30.471976 units
10 units Radius; 90 deg Central Angle (Degrees)	35.707963 units
10 units Radius; 120 deg Central Angle (Degrees)	40.943951 units
10 units Radius; 150 deg Central Angle (Degrees)	46.179939 units
10 units Radius; 180 deg Central Angle (Degrees)	51.415927 units
10 units Radius; 210 deg Central Angle (Degrees)	56.651914 units
10 units Radius; 240 deg Central Angle (Degrees)	61.887902 units
10 units Radius; 270 deg Central Angle (Degrees)	67.12389 units
10 units Radius; 300 deg Central Angle (Degrees)	72.359878 units
10 units Radius; 330 deg Central Angle (Degrees)	77.595865 units
10 units Radius; 360 deg Central Angle (Degrees)	82.831853 units
20 units Radius; 0 deg Central Angle (Degrees)	40 units
20 units Radius; 15 deg Central Angle (Degrees)	45.235988 units
20 units Radius; 30 deg Central Angle (Degrees)	50.471976 units
20 units Radius; 45 deg Central Angle (Degrees)	55.707963 units
20 units Radius; 60 deg Central Angle (Degrees)	60.943951 units
20 units Radius; 90 deg Central Angle (Degrees)	71.415927 units
20 units Radius; 120 deg Central Angle (Degrees)	81.887902 units
20 units Radius; 150 deg Central Angle (Degrees)	92.359878 units
20 units Radius; 180 deg Central Angle (Degrees)	102.831853 units
20 units Radius; 210 deg Central Angle (Degrees)	113.303829 units
20 units Radius; 240 deg Central Angle (Degrees)	123.775804 units
20 units Radius; 270 deg Central Angle (Degrees)	134.24778 units
20 units Radius; 300 deg Central Angle (Degrees)	144.719755 units
20 units Radius; 330 deg Central Angle (Degrees)	155.191731 units
20 units Radius; 360 deg Central Angle (Degrees)	165.663706 units
50 units Radius; 0 deg Central Angle (Degrees)	100 units
50 units Radius; 15 deg Central Angle (Degrees)	113.089969 units
50 units Radius; 30 deg Central Angle (Degrees)	126.179939 units
50 units Radius; 45 deg Central Angle (Degrees)	139.269908 units
50 units Radius; 60 deg Central Angle (Degrees)	152.359878 units
50 units Radius; 90 deg Central Angle (Degrees)	178.539816 units
50 units Radius; 120 deg Central Angle (Degrees)	204.719755 units
50 units Radius; 150 deg Central Angle (Degrees)	230.899694 units
50 units Radius; 180 deg Central Angle (Degrees)	257.079633 units
50 units Radius; 210 deg Central Angle (Degrees)	283.259571 units
50 units Radius; 240 deg Central Angle (Degrees)	309.43951 units
50 units Radius; 270 deg Central Angle (Degrees)	335.619449 units
50 units Radius; 300 deg Central Angle (Degrees)	361.799388 units
50 units Radius; 330 deg Central Angle (Degrees)	387.979327 units
50 units Radius; 360 deg Central Angle (Degrees)	414.159265 units

Frequently Asked Questions

Frequently asked questions for Sector Perimeter from Radius and Angle (Degrees) and its reference values.

What does the Sector Perimeter from Radius and Angle (Degrees) calculator do?

It helps with estimating boundary length around pie-slice shapes and circular cutouts.

What formula does the Sector Perimeter from Radius and Angle (Degrees) calculator use?

Sector perimeter = 2r + arc length, and arc length = πrθ/180 for degrees.

What inputs are valid?

Radius must be non-negative and central angle is limited to 0-360°.

When would I use this?

estimating boundary length around pie-slice shapes and circular cutouts

Methodology and Review

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