Transcript Shape and Space 3 - Circles - School

GCSE
Mathematics
Targeting Grade C
Shape and Space
Unit 3 Circles
Can you…
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TOP Parts of a circle
•Name parts of a circle
•Calculate the circumference of a circle
•Calculate the area of a circle
Try a test
Practice 1: Circumference
Practice 2: Area
TAIL 1
•Calculate Surface area of a cylinder
Practice 3: Surface area
•Calculate Volume of a cylinder
Practice 4: Volume
Try a test
TAIL 2
TOP
Are you ready for
the answers ?
Name the parts of the circle
z
circumference
Remember
radius
d = 2r
y
r = d/2
x
diameter
Circumference
C = Лd
Area
A = Лr
Lesson
2
Practice 1: Circumference
1.
Diagram NOT
drawn accurately
12 cm
2.
The diameter of a 10 pence coin is 2.45 cm.
Work out the circumference of the coin.
Give your answer correct to 1dp
Work out the circumference of the circle.
Give your answer, in centimetres, correct to 1dp
3.
The radius of a circle is 6.4 cm.
Work out the circumference of this circle.
Give your answer correct to 1 dp
6.4 cm
Lesson
Practice 2: Area
1.
2.
Calculate the area of a circle with diameter 12 cm.
9.7 cm
12 cm
The radius of the circle is 9.7 cm.
Work out the area of the circle.
Give your answer to 3 significant figures.
3.
4.
The radius of a circle is 3.60 m.
Work out the area of the circle.
Give your answer correct to 3 significant figures.
3.60 m
Lesson
A circle has a radius of 6.1 cm.
Work out the area of the circle.
6.1 cm
TAIL 1
1.
3.
The radius of a circle is 4 m.
A= 50.3 m
2
C= 25.1 m
Are you ready for
the answers ?
Jerry has a new garden roller.
Part of the roller is a cylinder.
The diameter of the cylinder is 0.7 m.
Jerry pushes the roller along.
The cylinder goes around exactly 16 times.
4m
Work out the area and the circumference of the circle.
Give your answer correct to 3 significant figures.
2.
Diagram NOT
accurately drawn
15 cm
A = 176.714 /2
= 88.4 cm
2
The diagram shows a semi-circle.
The diameter of the semi-circle is 15 cm.
Calculate the area of the semi-circle.
Give your answer correct to 3 significant figures.
Lesson
Picture NOT accurately drawn
Work out how far the roller moves.
Give your answer correct to 3 significant figures.
16 x 2.1994 = 35.2 m
Remember
Surface area of a cylinder
= circumference x height + area of the 2 circles
= 2Лrh +(2 Лr )
2
Volume
= area of circle x height
= Лr h
2
Next
Are you ready for
the answers ?
Practice 3: Surface area
1.
2.
18 cm
A= 905 cm
Diagram NOT accurately drawn
The diagram shows a solid cylinder.
The radius of the cylinder is 9.3 cm.
Its height is 12.4 cm.
Calculate the total surface area of the cylinder.
Give your answer correct to 3 significant figures.
2
9.3 cm
12 cm
12.4 cm
Diagram NOT accurately drawn
The diagram shows a solid cylinder.
The cylinder has a diameter of 12 cm and a height of 18 cm.
Calculate the total surface area of the cylinder.
Give your answer correct to 3 significant figures.
Lesson
A =1270 cm
2
Are you ready for
the answers ?
Practice 4: Volume
1.
2.
4 cm
24 cm
Diagram NOT accurately drawn
A cylinder has a height of 24 cm and a radius of 4 cm.
Work out the volume of the cylinder.
Give your answer correct to 3 significant figures.
Diagram NOT accurately drawn
The diagram shows a cylinder with a height of 10 cm
and a radius of 4 cm.
Calculate the volume of the cylinder.
Give your answer correct to 3 significant figures.
3
Volume =502.6548246 =503 cm
Lesson
3
Volume =1206.371579=1206 cm
Are you ready for
the answers ?
TAIL 2
1.
2.
A can of drink is in the shape of a cylinder.
The can has a radius of 4 cm and a height of 15 cm.
Diagram NOT
accurately drawn
15 cm
Diagram NOT accurately drawn
The diagram shows a solid cylinder.
The radius of the cylinder is 54 cm.
The height of the cylinder is 10 cm.
4 cm
Calculate the curved surface area of the cylinder
Give your answer correct to three significant figures
Surface Area = 19401.76836 = 19400 cm
Lesson
2
Calculate the volume of the cylinder.
Give your answer correct to 3 significant figures.
3
Volume =753.3982269 =754 cm