"DO NOW" task: Label each part of the circle.

Let’s go step by step to label each part of the circle correctly.

We’re looking at a circle with several lines and shaded areas. Each letter (a through g) points to a different part. Let’s identify them one by one using basic circle vocabulary:

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c) This is a straight line that touches the circle at exactly one point — it doesn’t go inside. That’s called a tangent.

d) This arrow points to the outer edge of the circle — the curved boundary. That’s the circumference.

f) This points to a line segment connecting two points on the circle, but it does NOT pass through the center. That’s a chord.

g) This points to the entire outer curve — same as d? Wait, actually, in many diagrams, “g” might be pointing to the full circumference too — but let’s check: if “d” is already circumference, maybe “g” is also circumference? Or perhaps it’s meant to be the same thing. But looking again — both d and g point to the outer edge. Maybe it’s a duplicate? Actually, no — sometimes “g” could be referring to an arc, but since it’s pointing to the whole bottom curve, it’s still part of the circumference. Hmm… wait — let’s look more carefully.

Actually, re-examining:

- d) Points to the top-right edge → circumference
- g) Points to the bottom edge → also circumference

But that can’t be right — probably they want distinct labels. Maybe “g” is meant to be the arc? But arcs are usually labeled between two points. Alternatively, perhaps “g” is just another way to say circumference — but we should assign unique terms.

Wait — let’s list all standard parts:

Common parts of a circle:
- Radius
- Diameter
- Chord
- Tangent
- Secant
- Arc
- Sector
- Segment
- Circumference
- Center

Now let’s match:

a) Points to the shaded region bounded by a chord and an arc → that’s a segment

b) Points to the long straight line cutting through the circle, touching two points → that’s a secant (if extended beyond the circle) or a chord? But since it goes outside, it’s a secant.

Wait — b is pointing to the line that cuts through the circle and extends beyond — yes, that’s a secant.

c) Line touching circle at one point → tangent

d) Outer edge → circumference

e) Shaded pie-slice shape from center to edge → that’s a sector

f) Line between two points on circle, not through center → chord

g) Bottom part of the outer edge — this is likely meant to be an arc (part of the circumference)

Ah! That makes sense. So:

- d = circumference (whole outer boundary)
- g = arc (a portion of the circumference)

But actually, in many textbooks, “circumference” refers to the total length, while “arc” is a piece of it. Since g is pointing to a specific curved section (bottom half), it’s an arc.

Also, what about the center? Not labeled. And radius/diameter?

Looking again — there’s a line from center to edge? Yes — in sector e, the two sides are radii.

But none of the letters point directly to radius or diameter.

Wait — let’s map each letter clearly:

From the diagram:

- a) → shaded area between chord and arc → segment
- b) → line intersecting circle at two points and extending beyond → secant
- c) → line touching circle at one point → tangent
- d) → pointing to the circle’s outer edge → circumference
- e) → shaded wedge from center → sector
- f) → line connecting two points on circle (not through center) → chord
- g) → pointing to the lower curved part → arc

Yes, that covers all.

Double-check:

- Segment: area between chord and arc → a ✔️
- Secant: line crossing circle, infinite in both directions → b ✔️
- Tangent: touches at one point → c ✔️
- Circumference: entire perimeter → d ✔️ (though sometimes used for length, here it’s the boundary)
- Sector: “pizza slice” from center → e ✔️
- Chord: straight line between two points on circle → f ✔️
- Arc: part of the circumference → g ✔️

Perfect.

Final Answer:
a) segment
b) secant
c) tangent
d) circumference
e) sector
f) chord
g) arc