The diagram shows 3 identical circles inside a rectangle - Edexcel - GCSE Maths - Question 21 - 2017 - Paper 2
Question 21
The diagram shows 3 identical circles inside a rectangle.
Each circle touches the other two circles and the sides of the rectangle, as shown in the diagram.
The rad... show full transcript
Worked Solution & Example Answer:The diagram shows 3 identical circles inside a rectangle - Edexcel - GCSE Maths - Question 21 - 2017 - Paper 2
Step 1
Work out the length of the rectangle
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Answer
Given that each circle has a radius of 24 mm, the diameter of each circle is:
Diameter=2×Radius=2×24 mm=48 mm
Since the circles are arranged in a straight line along the length of the rectangle, the length of the rectangle is:
Length=2×Diameter=2×48 mm=96 mm
Step 2
Work out the height of the rectangle
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Answer
The height of the rectangle is the diameter of one circle, which is:
Height=Diameter=48 mm
Step 3
Calculate the area of the rectangle
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Answer
The area of the rectangle can be calculated using the formula:
Area=Length×Height
Substituting the values:
Area=96 mm×48 mm=4608 mm2
Step 4
Present the final answer
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Answer
Rounding to three significant figures, the area of the rectangle is: