My Learning Cart
?
Categories
Account

A tangent to a circle is drawn from a point outside the circle. If the radius of

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: A tangent to a circle is drawn from a point outside the circle. If the radius of the circle is 3 cm and the distance from the center to the point is 5 cm, what is the length of the tangent?

Options:

  1. 4 cm
  2. 6 cm
  3. 5 cm
  4. 3 cm

Correct Answer: 4 cm

Solution: 

Length of tangent = √(d² - r²) = √(5² - 3²) = √(25 - 9) = √16 = 4 cm.

A tangent to a circle is drawn from a point outside the circle. If the radius of

Practice Questions

Q1
A tangent to a circle is drawn from a point outside the circle. If the radius of the circle is 3 cm and the distance from the center to the point is 5 cm, what is the length of the tangent?
  1. 4 cm
  2. 6 cm
  3. 5 cm
  4. 3 cm

Questions & Step-by-Step Solutions

A tangent to a circle is drawn from a point outside the circle. If the radius of the circle is 3 cm and the distance from the center to the point is 5 cm, what is the length of the tangent?
  • Step 1: Identify the radius of the circle (r) and the distance from the center of the circle to the point outside the circle (d). Here, r = 3 cm and d = 5 cm.
  • Step 2: Use the formula for the length of the tangent (L) from a point outside the circle: L = √(d² - r²).
  • Step 3: Calculate d² (the square of the distance from the center to the point): d² = 5² = 25.
  • Step 4: Calculate r² (the square of the radius): r² = 3² = 9.
  • Step 5: Subtract r² from d²: 25 - 9 = 16.
  • Step 6: Take the square root of the result: √16 = 4.
  • Step 7: Conclude that the length of the tangent is 4 cm.
  • Tangent to a Circle – The length of a tangent from a point outside a circle can be calculated using the formula: Length of tangent = √(d² - r²), where d is the distance from the center of the circle to the external point and r is the radius of the circle.
  • Pythagorean Theorem – The relationship between the radius, the distance from the center to the external point, and the tangent forms a right triangle, which can be analyzed using the Pythagorean theorem.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks