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a circle is centered about the origin and its circumference passes through the point A(5,7) determine length of the radius of the circle

Sagot :

Answer:

[tex]\sqrt{74} \;or\: $\sim$\:8.6[/tex]

Step-by-step explanation:

Distance Formula

The distance between two points on a graph can be calculated using the distance formula,

                                   [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].

Applying the Formula

The radius is the distance between the center of a circle and its circumference.

We're informed that the origin is the center and (5, 7) is on the circumference, then the radius is the distance between (0, 0) and (5, 7)!

Assigning (5, 7) to be [tex]x_2\:and\:y_2[/tex] and (0, 0) to be [tex]x_1\:and\:y_1[/tex] the distance is,

                                          [tex]\sqrt{(5-0)^2+(7-0)^2}\\\\=\sqrt{5^2+7^2} \\\\\implies \rm \sqrt{74} \: or\: 8.6[/tex].