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 .

GCSEMathsEdexcelHigherFlashcards4. Geometry & MeasuresCircles, Arcs & Sectors

Circles, Arcs & Sectors (Edexcel GCSE Maths)

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FrontArea & Circumference of Circles
What is the formula for the circumference of a circle?
BackArea & Circumference of Circles
There are two formulas for the circumference of a circle, $C = 2 π r = π d$
Where:
$C =$ circumference
$r =$ radius
$d =$ diameter

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Cards in this collection (13)

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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