Math Snap
PROBLEM
The circle below is centred at O .
a) Which letter labels a segment of the circle?
b) Which letter labels a sector of the circle?
STEP 1
What is this asking?
Which labeled part is a segment and which is a sector of the circle?
Watch out!
Don't mix up segments and sectors!
They sound similar, but they're different parts of a circle.
STEP 2
1. Define Segment and Sector
2. Identify the Segment
3. Identify the Sector
STEP 3
Alright, let's break this down!
A segment is like a slice of pizza, but instead of cutting straight to the center, we cut with a straight line across the circle, called a chord.
The segment is the area between the chord and the curved edge, or arc, of the circle.
STEP 4
A sector, on the other hand, is like a normal pizza slice!
It's the area enclosed by two radii and the arc between them.
Think of it as a slice going straight to the center of the circle.
STEP 5
Looking at our labeled regions, which one looks like our pizza slice cut with a chord?
It's X!
Region X is bounded by a chord and an arc, making it a segment of the circle.
STEP 6
Now, which region looks like a regular pizza slice with two radii and an arc?
That's Y!
Region Y is enclosed by two radii and an arc, making it a sector of the circle.
Notice how Z is a triangle, not a sector, because it's formed by two radii and a chord, not an arc.
SOLUTION
a) The segment of the circle is labeled X.
b) The sector of the circle is labeled Y.
