A landing pad for a helicopter is in the shape of a circle - Junior Cycle Mathematics - Question 7 - 2016
Question 7
A landing pad for a helicopter is in the shape of a circle.
It has a diameter of 6 m.
(a) Find the length of the radius of the landing pad.
(b) Find the length of ... show full transcript
Worked Solution & Example Answer:A landing pad for a helicopter is in the shape of a circle - Junior Cycle Mathematics - Question 7 - 2016
Step 1
Find the length of the radius of the landing pad.
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Answer
To find the radius of the landing pad, we use the formula:
r=2d
where d is the diameter. Given that the diameter is 6 m:
r=26=3 m
Thus, the radius of the landing pad is 3 m.
Step 2
Find the length of the perimeter of the landing pad.
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Answer
The perimeter (circumference) of a circle can be calculated using the formula:
P=2πr
Substituting the radius we found in part (a):
P=2π(3)P≈2×3.14×3≈18.84 m
Rounding to the nearest metre, the perimeter is approximately 19 m.
Step 3
Work out the area of the landing pad.
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Answer
The area of a circle is calculated using the formula:
A=πr2
Using the radius found in part (a):
A=π(3)2=9πA≈9×3.14≈28.26 m2
Rounding to one decimal place, the area is approximately 28.3 m².
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