30087

Question

A {{object}} is pictured below.


{{image}}


Which of the following is the best estimate of the area of one side of the {{object}} shown, in cm2^2.

Worked Solution
Area = πr\large \pi \large r2^2
= π ×\large \pi \ \times {{radius}}2^2
= {{total}}π\large \pi

π ≈\large \pi\ \thickapprox 3.14


∴\therefore Best estimate is {{{correctAnswer}}}.

Variant 0

DifficultyLevel

593

Question

A circular disk is pictured below.



Which of the following is the best estimate of the area of one side of the circular disk shown, in cm2^2.

Worked Solution
Area = πr\large \pi \large r2^2
= π ×\large \pi \ \times 102^2
= 100π\large \pi

π ≈\large \pi\ \thickapprox 3.14


∴\therefore Best estimate is 300.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
object
circular disk
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q23var1.svg 180 indent2 vpad
radius
10
total
100
correctAnswer
300

Answers

Is Correct?Answer
x

60

x

180

✓

300

x

400

Variant 1

DifficultyLevel

593

Question

A metal disc is pictured below.



Which of the following is the best estimate of the area of one side of the metal disc shown, in cm2^2.

Worked Solution
Area = πr\large \pi \large r2^2
= π ×\large \pi \ \times 42^2
= 16π\large \pi

π ≈\large \pi\ \thickapprox 3.14


∴\therefore Best estimate is 50.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
object
metal disc
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q23-var2.svg 180 indent2 vpad
radius
4
total
16
correctAnswer
50

Answers

Is Correct?Answer
x

25

✓

50

x

80

x

100

Variant 2

DifficultyLevel

593

Question

A circular plate is pictured below.



Which of the following is the best estimate of the area of one side of the circular plate shown, in cm2^2.

Worked Solution
Area = πr\large \pi \large r2^2
= π ×\large \pi \ \times 62^2
= 36π\large \pi

π ≈\large \pi\ \thickapprox 3.14


∴\therefore Best estimate is 110.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
object
circular plate
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q23-var3.svg 180 indent2 vpad
radius
6
total
36
correctAnswer
110

Answers

Is Correct?Answer
x

40

x

60

✓

110

x

180

Variant 3

DifficultyLevel

593

Question

A circular plate is pictured below.



Which of the following is the best estimate of the area of one side of the circular plate shown, in cm2^2.

Worked Solution
Area = πr\large \pi \large r2^2
= π ×\large \pi \ \times 72^2
= 49π\large \pi

π ≈\large \pi\ \thickapprox 3.14


∴\therefore Best estimate is 150.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
object
circular plate
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q23-var4.svg 180 indent2 vpad
radius
7
total
49
correctAnswer
150

Answers

Is Correct?Answer
x

45

x

90

x

120

✓

150

Variant 4

DifficultyLevel

593

Question

A circular token is pictured below.



Which of the following is the best estimate of the area of one side of the circular token shown, in cm2^2.

Worked Solution
Area = πr\large \pi \large r2^2
= π ×\large \pi \ \times 32^2
= 9π\large \pi

π ≈\large \pi\ \thickapprox 3.14


∴\therefore Best estimate is 30.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
object
circular token
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q23-var5.svg 180 indent2 vpad
radius
3
total
9
correctAnswer
30

Answers

Is Correct?Answer
x

20

✓

30

x

110

x

150