Define a chord of a circle.

A chord is a straight line joining two points on the circumference. It does not have to pass through the centre, and it does not extend beyond the circle.

Define a segment of a circle.

A segment is the region enclosed between a chord and the arc that the chord cuts off. Every chord creates two segments, a larger one and a smaller one.

Define a tangent to a circle.

A tangent is a straight line that touches the circumference at exactly one point . Unlike a chord, it does not cut across the circle at all.

True or False? Every diameter is also a chord.

True. A diameter joins two points on the circumference, which is exactly what a chord does. A diameter is simply the special chord that passes through the centre , and it is the longest chord a circle has.

Why is a diameter a line of symmetry of a circle?

Because it passes through the centre , so it splits the circle into two identical halves. A circle has infinitely many lines of symmetry, since every diameter is one.

Define the term radius of a circle .

A radius of a circle is the distance from the centre of a circle to its circumference .

True or False? Every point on the circumference of a circle is equidistant from its centre .

True. Every point on the circumference of a circle is equidistant from its centre .

What is the minor arc ?

The minor arc is the smaller of the two arcs created by two points on the circumference of a circle.

What is the major sector ?

The major sector is the larger of the two sectors created by two radii in a circle.

True or False? The area of a sector is a fraction of the area of the whole circle .

True. The area of a sector is a fraction of the area of the whole circle .

GCSEMathsAQAFoundationFlashcardsGeometry & MeasuresCircles, Arcs & Sectors

Circles, Arcs & Sectors (AQA GCSE Maths: Foundation): Flashcards

Exam code: 8300

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FrontProperties of Circles
Define a chord of a circle.

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Cards in this collection (18)

Define a chord of a circle.
A chord is a straight line joining two points on the circumference.
It does not have to pass through the centre, and it does not extend beyond the circle.
Define a segment of a circle.
A segment is the region enclosed between a chord and the arc that the chord cuts off.
Every chord creates two segments, a larger one and a smaller one.
Define a tangent to a circle.
A tangent is a straight line that touches the circumference at exactly one point.
Unlike a chord, it does not cut across the circle at all.
True or False?
Every diameter is also a chord.
True.
A diameter joins two points on the circumference, which is exactly what a chord does.
A diameter is simply the special chord that passes through the centre, and it is the longest chord a circle has.
Why is a diameter a line of symmetry of a circle?
Because it passes through the centre, so it splits the circle into two identical halves.
A circle has infinitely many lines of symmetry, since every diameter is one.
What is the formula for the circumference of a circle?
There are two formulas for the circumference of a circle, $C = 2 π r = π d$
Where:
- $C =$ circumference
- $r =$ radius
- $d =$ diameter
Define the term radius of a circle.
A radius of a circle is the distance from the centre of a circle to its circumference.
True or False?
Pi ( $π$ ) is the ratio between a circle's diameter and its circumference.
True.
Pi ( $π$ ) is the ratio between a circle's diameter and its circumference.
What is the relationship between the diameter of a circle and the radius?
The diameter of a circle is twice the length of the radius ( $d = 2 r$ ).
True or False?
Every point on the circumference of a circle is equidistant from its centre.
True.
Every point on the circumference of a circle is equidistant from its centre.
What is an arc?
An arc is a part of the circumference of a circle.
What is the minor arc ?
The minor arc is the smaller of the two arcs created by two points on the circumference of a circle.
What is the formula for the length of an arc?
The formula for the length of an arc is $l = \frac{θ}{360} \times 2 π r$
Where:
- $l =$ length of the arc
- $θ =$ angle of the sector
- $r =$ radius
What is a sector?
A sector is the part of a circle enclosed by two radii and an arc.
What is the major sector?
The major sector is the larger of the two sectors created by two radii in a circle.
What is the formula for the area of a sector?
The formula for the area of a sector is $A = \frac{θ}{360} \times π r^{2}$
Where:
- $A =$ area
- $θ =$ the angle of the sector
- $r =$ radius
True or False?
The area of a sector is a fraction of the area of the whole circle.
True.
The area of a sector is a fraction of the area of the whole circle.
In the equation $A = \frac{θ}{360} \times π r^{2}$ , what does $θ$ represent?
In the equation $A = \frac{θ}{360} \times π r^{2}$ , the quantity $θ$ represents the angle of the sector.

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