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A circle whose center is at (1, -3) passes through (7, 5).

What is the length of the radius of the circle?

User Flazzarini
by
7.9k points

1 Answer

9 votes

Answer:

10 units

Explanation:

Length of the radius of the circle will be equal to the distance between the center of the circle and the point through which it passes.

Therefore,

Length of radius


= \sqrt{(1 - 7)^(2) + {( - 3 - 5)}^(2) } \\ \\ \sqrt{ {( - 6)}^(2) + ( - 8)^(2) } \\ \\ = √(36 + 64) \\ \\ = √(100) \\ \\ = 10 \: units

User Duncanhall
by
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