Parts of a circle

Nine names, each drawn on its own circle so the picture can be matched rather than the sentence remembered — including the four pairs that get mixed up.

Parts of a circle — free printable reference chart

Reference chart

Parts of a circle

O

Center

The exact middle

r

Radius

Center to edge

d

Diameter

Across the center

Chord

Edge to edge, off-center

C = π × d

Circumference

The whole way round

Arc

Part of the way round

Sector

The slice of pizza

Segment

A chord and its arc

Tangent

Touches at one point

Everything here is measured from the center. A radius reaches it, a diameter crosses it (so d = 2 × r), a chord misses it, and a tangent never touches the inside at all.

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What's on this chart

The usual version of this page is one circle with nine leader lines pointing at it. That answers the question "what is this line called", which is not the question a child arrives with. They have been told to find the sector, or to measure a chord, and what they need is to know which part of their own circle that is. So every name here gets a circle of its own, and the page is used by matching rather than by reading.

Why this chart helps

Four of the nine are only ever confused with one other, and they are drawn to be told apart. A chord and a diameter are the same kind of line — both join two points on the edge — and the only difference is whether it passes the center, so the center dot is marked on both drawings and the diameter runs straight through it. A sector and a segment are the same region cut two different ways: the sector keeps its two radii and is the slice of pizza, the segment has the chord straight across and is the crust without the point. Side by side that difference is visible before a word is read.