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 the perimeter of the landing pad. Give your answer in m, correct to the nearest metre. (c) Work out the area of the landing pad. Give your answer in m², correct to one decimal place.

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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:

$r = \frac{d}{2}$

where $d$ is the diameter. Given that the diameter is 6 m:

$r = \frac{6}{2} = 3 \text{ m}$

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:

$P = 2 \pi r$

Substituting the radius we found in part (a):

$P = 2 \pi (3)$ $P \approx 2 \times 3.14 \times 3 \approx 18.84 \text{ m}$

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:

$A = \pi r^2$

Using the radius found in part (a):

$A = \pi (3)^2 = 9\pi$ $A \approx 9 \times 3.14 \approx 28.26 \text{ m}^2$

Rounding to one decimal place, the area is approximately 28.3 m².

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A landing pad for a helicopter is in the shape of a circle - Junior Cycle Mathematics - Question 7 - 2016

Worked Solution & Example Answer:A landing pad for a helicopter is in the shape of a circle - Junior Cycle Mathematics - Question 7 - 2016

Find the length of the radius of the landing pad.

Find the length of the perimeter of the landing pad.

Work out the area of the landing pad.

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