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GCSE Maths
Area and perimeter
Area of circles
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Cards (34)
What is the approximate value of
π
\pi
π
?
About
3.1416
What is the definition of the radius of a circle?
Distance from
center
to any point
What does
π
\pi
π
represent in the area formula?
It represents the
ratio
of
circumference
to diameter
What does
r
2
r^{2}
r
2
mean in the area formula?
It means the
radius
squared
What is the formula for the area of a circle?
A
=
A =
A
=
π
r
2
\pi r^{2}
π
r
2
What is the area of a circle with radius 4 cm?
50.27
c
m
2
50.27 cm^{2}
50.27
c
m
2
What are the components of the area formula
A
=
A =
A
=
π
r
2
\pi r^{2}
π
r
2
?
π
\pi
π
:
Constant
,
approximately
3.14
r
2
r^{2}
r
2
: Radius
squared
(
radius
multiplied by itself)
What is the radius of the circle shown in the image?
6 m
What is the circumference of a circle with a diameter of 2 cm?
Approximately
6.28
6.28
6.28
cm
What does
A
A
A
represent in the area formula?
Area
of the circle
How do you calculate the circumference of a circle using
π
\pi
π
?
Circumference
formula
:
C
=
C =
C
=
d
π
d \pi
d
π
Where
d
d
d
is the
diameter
If the radius
(
r
)
(r)
(
r
)
is 4 cm, what is
r
2
r^{2}
r
2
?
16
c
m
2
16 cm^{2}
16
c
m
2
What does
π
\pi
π
represent in geometry?
Relationship between
circumference
and
diameter
What are the steps to calculate the area of a circle given the radius?
Identify the radius.
Use the
formula
A
=
A =
A
=
π
r
2
\pi r^{2}
π
r
2
.
Substitute the radius value into the formula.
Calculate the
area
.
How does the value of
π
\pi
π
remain constant?
It is a ratio of
circumference
to
diameter
How do you calculate the area of the circle shown in the image?
Radius
(r) = 6 m
Use the
formula
:
A
=
A =
A
=
π
r
2
\pi r^2
π
r
2
Plug in the values:
A
=
A =
A
=
π
×
6
2
=
\pi \times 6^2 =
π
×
6
2
=
36
π
m
2
36\pi \text{ m}^2
36
π
m
2
Area =
36π
m^2
How do you calculate the area of a circle with radius 6m?
A
=
A =
A
=
36
π
≈
113
m
2
36\pi \approx 113 m^{2}
36
π
≈
113
m
2
What does the diameter of a circle represent in relation to the radius?
Diameter is
twice
the radius
What is the diameter of the circle shown in the image?
12 m
What is the approximate area of a circle with radius 6m?
Approximately
113 m²
What does
r
r
r
represent in the area formula?
Radius of the circle
What is the squared radius of a circle with a radius of 5 meters?
25
m
2
25 m^{2}
25
m
2
If a circle has a radius of 3 cm, what is its area?
28.27
c
m
2
28.27 cm^{2}
28.27
c
m
2
How do you calculate the area of a circle with a diameter of 10 meters?
Find the
radius
,
square
it, then apply
Why is
π
\pi
π
considered a special number in mathematics?
It is a
constant
ratio for all
circles
If a circle has a diameter of 10 meters, what is its radius?
5
m
5 m
5
m
What is the formula to calculate the area of a circle?
A
=
A =
A
=
π
r
2
\pi r^2
π
r
2
What is the area of a circle with a radius of 5 meters?
78.54
m
2
78.54 m^{2}
78.54
m
2
What is the final area of a circle with a radius of 5 meters?
78.54
m
2
78.54 m^{2}
78.54
m
2
How do you find the area of a circle with a radius of 3 cm?
Square the radius and
apply the formula
What is the first step to calculate the area of a circle with radius 3 cm?
Square
the radius
What is the squared radius of a circle with radius 3 cm?
9
c
m
2
9 cm^{2}
9
c
m
2
What is the area of a circle and how is it calculated?
The area is the space inside the circle.
Calculated using the
formula
:
A
=
A =
A
=
π
r
2
\pi r^{2}
π
r
2
If the diameter of a circle is 12m, what is the radius?
6
m
6 m
6
m