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If the coordinates of the center of a circle are (0, 0) and it passes through th

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Question: If the coordinates of the center of a circle are (0, 0) and it passes through the point (3, 4), what is the radius of the circle?

Options:

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

Correct Answer: 5 units

Solution: 

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

If the coordinates of the center of a circle are (0, 0) and it passes through th

Practice Questions

Q1
If the coordinates of the center of a circle are (0, 0) and it passes through the point (3, 4), what is the radius of the circle?
  1. 3 units
  2. 4 units
  3. 5 units
  4. 7 units

Questions & Step-by-Step Solutions

If the coordinates of the center of a circle are (0, 0) and it passes through the point (3, 4), what is the radius of the circle?
  • 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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