60004

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

627

Question

A child's bike tyre has a circumference of 90 cm.

Which of these is closest to the radius of the circle?

Worked Solution
CC = 2πr\large \pi r
90 = 2 × π ×r\times\ \large \pi\ \times \large r
r\large r = 902π\dfrac{90}{2\large \pi}
≈902×3.14\approx \dfrac{90}{2\times 3.14}
≈906.3\approx \dfrac{90}{6.3}
≈\approx 14.3 cm (closest answer)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A child's bike tyre has a circumference of 90 cm. Which of these is closest to the radius of the circle?
workedSolution
| | | | ----: | ------------------------------ | | $C$ | \= 2$\large \pi r$ | | 90 | \= 2 $\times\ \large \pi\ \times \large r$ | | $\large r$ | \= $\dfrac{90}{2\large \pi}$ | | | $\approx \dfrac{90}{2\times 3.14}$ | | | $\approx \dfrac{90}{6.3}$ | | | $\approx$ {{{correctAnswer}}} (closest answer) |
correctAnswer
14.3 cm

Answers

Is Correct?Answer
x

5.4 cm

✓

14.3 cm

x

28.6 cm

x

141.4 cm

Variant 1

DifficultyLevel

627

Question

A child's bike tyre has a circumference of 64 cm.

Which of these is closest to the radius of the tyre?

Worked Solution
CC = 2πr\large \pi \large r
64 = 2πr\large \pi \large r
∴ r\therefore\ \large r = 642π\dfrac{64}{2\large \pi}
≈642×3.14\approx \dfrac{64}{2\times 3.14}
= 10.2 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A child's bike tyre has a circumference of 64 cm. Which of these is closest to the radius of the tyre?
workedSolution
| | | | ----------------: | ----------------------- | | $C$ | \= 2$\large \pi \large r$ | | 64 | \= 2$\large \pi \large r$ | | $\therefore\ \large r$ | \= $\dfrac{64}{2\large \pi}$ | | | $\approx \dfrac{64}{2\times 3.14}$ | | | \= {{{correctAnswer}}} |
correctAnswer
10.2 cm

Answers

Is Correct?Answer
✓

10.2 cm

x

20.4 cm

x

32.0 cm

x

100.5 cm

Tags