Answer :
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].
