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Percentages · Question 56 of 72

Question 56

HardOriginal question

The radius of a circular flower bed is reduced by 30%. By what percentage does its area decrease?

Options for question 56

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Area is proportional to r2r^2, so it multiplies by 0.7×0.7=0.490.7 \times 0.7 = 0.49.

  2. Decrease = 1−0.49=0.511 - 0.49 = 0.51, i.e. 51%.

Worth noting

49% is the area that REMAINS, not the decrease. Formula: −30−30+(−30)(−30)100=−51-30 - 30 + \frac{(-30)(-30)}{100} = -51.

Concept
Area change of a circle when the radius changes
Typical time
90 s
Your time
—
The rule this testsSuccessive percentage change
Practise this chapter →

Ten questions from Percentages, at your own pace.

Practise this chapter →

Ten questions from Percentages, at your own pace.