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If a circle has a center at (0, 0) and passes through the point (3, 4), what is

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Question: If a circle has a center at (0, 0) and passes through the point (3, 4), what is its radius?

Options:

  1. 5
  2. 7
  3. 4
  4. 3

Correct Answer: 5

Solution: 

Radius r = distance from center to point = √((3 - 0)² + (4 - 0)²) = √(9 + 16) = √25 = 5.

If a circle has a center at (0, 0) and passes through the point (3, 4), what is

Practice Questions

Q1
If a circle has a center at (0, 0) and passes through the point (3, 4), what is its radius?
  1. 5
  2. 7
  3. 4
  4. 3

Questions & Step-by-Step Solutions

If a circle has a center at (0, 0) and passes through the point (3, 4), what is its radius?
  • Distance Formula – The distance between two points in a Cartesian plane is calculated using the formula √((x2 - x1)² + (y2 - y1)²).
  • Circle Properties – A circle is defined by its center and radius, where the radius is the distance from the center to any point on the circle.
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