Graph a circle that has its center at (0,0) and passes through (2,2)

Answer 1

The equation of a circle with center ( 0 , 0 ) and radius r is given by :

x² + y² = r²

In this case:

x = 2 , y = 2

x² + y² = r²

2² + 2² = r²

4 + 4 = r²

8 = r²

r² = 8

r = √ 8

r = √ ( 4 ∙ 2 )

r = √ 4 ∙ √ 2

r = 2 ∙ √ 2

r = 2 ∙ 1.41

r = 2.82

Draw a circles centered at the origin ( 0 , 0 ) with radius r = 2.82 and mark points x = 2 , y = 2

If you want to see graph go on:

wolframalpha.c o m

When page be open in rectangle paste:

circle center ( 0 , 0 ) through ( 2 , 2 )

then click

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