The circle $k$ is shown on the co-ordinate diagram below. Each small square on the grid has sides of length 1 cm. (a) (i) Plot and label three points A, B, and C on the diagram so that: - A is inside the circle $k$.\ Co-ordinates of A: (____, ____) - B is outside the circle $k$.\ Co-ordinates of B: (____, ____) - C is on the circle $k$.\ Co-ordinates of C: (____, ____) (ii) Write the co-ordinates of the points A, B, and C in the appropriate spaces above. (b) Write down the radius of the circle $k$. Give your answer in cm. Answer: __________ cm (c) Hence work out the area of the circle $k$. Give your answer in cm², correct to one decimal place.

Junior Cycle Mathematics Co-Ordinate Geometry: The circle $k$ is shown on the c

The circle $k$ is shown on the co-ordinate diagram below - Junior Cycle Mathematics - Question 2 - 2019

Question 2

The circle $k$ is shown on the co-ordinate diagram below. Each small square on the grid has sides of length 1 cm. (a) (i) Plot and label three points A, B, and C on... show full transcript

Worked Solution & Example Answer:The circle $k$ is shown on the co-ordinate diagram below - Junior Cycle Mathematics - Question 2 - 2019

Step 1

Plot and label three points A, B, and C on the diagram so that: A is inside the circle k.

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Answer

A: (5, 4)

B: (9, 4)

C: (6, 5)

Step 2

B is outside the circle k.

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Answer

B: (9, 4)

Step 3

C is on the circle k.

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Answer

C: (6, 6)

Step 4

Write the co-ordinates of the points A, B, and C in the appropriate spaces above.

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Answer

A: (5, 4) B: (9, 4) C: (6, 6)

Step 5

Write down the radius of the circle k. Give your answer in cm.

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Answer

The radius of circle k is 3 cm.

Step 6

Hence work out the area of the circle k. Give your answer in cm², correct to one decimal place.

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Answer

The area of circle k can be calculated using the formula: $A = \\pi r^2$ . Thus,

$A = \\pi (3)^2 = 9\pi$ , which is approximately 28.3 cm² when rounded to one decimal place.

The circle $k$ is shown on the co-ordinate diagram below - Junior Cycle Mathematics - Question 2 - 2019

Worked Solution & Example Answer:The circle $k$ is shown on the co-ordinate diagram below - Junior Cycle Mathematics - Question 2 - 2019

Plot and label three points A, B, and C on the diagram so that: A is inside the circle k.

B is outside the circle k.

C is on the circle k.

Write the co-ordinates of the points A, B, and C in the appropriate spaces above.

Write down the radius of the circle k. Give your answer in cm.

Hence work out the area of the circle k. Give your answer in cm², correct to one decimal place.

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