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In January 2021, people were allowed to travel 5 km from their home to exercise - Junior Cycle Mathematics - Question 12 - 2022

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In January 2021, people were allowed to travel 5 km from their home to exercise. (a) Write km or km² into each box below to complete the following sentence correctl... show full transcript

Worked Solution & Example Answer:In January 2021, people were allowed to travel 5 km from their home to exercise - Junior Cycle Mathematics - Question 12 - 2022

Step 1

Write km or km² into each box below to complete the following sentence correctly.

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Answer

Area is measured in km² and distance is measured in km.

Step 2

Use the following formula to work out the circumference of a circle with a radius of 5 km.

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Answer

Using the formula for circumference:

2×π×r=2×π×5=31.4 km2 \times \pi \times r = 2 \times \pi \times 5 = 31.4 \text{ km}

Step 3

Use a different formula to work out the area of a circle with a radius of 5 km.

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Answer

Using the formula for area:

A=πr2=π(52)=π×2578.5 km2A = \pi r^2 = \pi (5^2) = \pi \times 25 \approx 78.5 \text{ km}^2

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