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If the radius of a circle is 7 cm, what is the length of a tangent drawn from a

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Question: If the radius of a circle is 7 cm, what is the length of a tangent drawn from a point 10 cm away from the center?

Options:

  1. 5
  2. 7
  3. 10
  4. 12

Correct Answer: 5

Solution: 

Using the tangent length formula: length = √(distance from center² - radius²) = √(10² - 7²) = √(100 - 49) = √51, which is approximately 7.14.

If the radius of a circle is 7 cm, what is the length of a tangent drawn from a

Practice Questions

Q1
If the radius of a circle is 7 cm, what is the length of a tangent drawn from a point 10 cm away from the center?
  1. 5
  2. 7
  3. 10
  4. 12

Questions & Step-by-Step Solutions

If the radius of a circle is 7 cm, what is the length of a tangent drawn from a point 10 cm away from the center?
  • Tangent Length Formula – The formula for finding the length of a tangent from a point outside a circle, which is derived from the Pythagorean theorem.
  • Circle Geometry – Understanding the properties of circles, including the relationship between the radius, center, and points outside the circle.
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