The circle with center (h, k) and radius r has equation
.. (x -h)^2 +(y -k)^2 = r^2
You have
.. h = 2
.. k = 0
.. r = √5
The center is (h, k) = (2, 0).
The answer would be 'b'
Now, here Luke walks total 2¼ miles but his friend's home is ¼ mile. So, number of trips he makes = Total miles walked ÷ Distance to his friend's home
= 2¼ ÷ ¼ = 9
The answer should be 4. Take note of the pattern of unit digits of 2^n.
2^1 = 2
2^2 = 4
2^3 = 8
2^4 = 16
2^5 = 32
Every 4 powers, it rotates 2, 8, 6, 4. Since 2020 is divisible by 4, the answer is 4.