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The length of a tangent from a point A a...

The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle.

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AI Generated Solution

To find the radius of the circle given the length of the tangent and the distance from the center, we can use the Pythagorean theorem. Here’s the step-by-step solution: ### Step 1: Understand the components of the problem We have: - Point A (external point) at a distance of 5 cm from the center O of the circle. - Length of the tangent AP from point A to the point of contact P on the circle is 4 cm. ### Step 2: Identify the right triangle ...
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Knowledge Check

  • The length of a tangent drawn from a point 10 cm away from the centre of the circle of radius 5 cm is

    A
    5 cm
    B
    `5 sqrt(3)` cm
    C
    `2 sqrt(3)` cm
    D
    `sqrt(15)` cm
  • From an external point Q, the length of tangent to a circle is 12 cm and the distance of Q from the centre of circle is 13 cm. The radius of circle (in cm) is

    A
    10
    B
    5
    C
    12
    D
    7
  • Length of a tangent segment drawn from a point which is at a distnace 12.5 cm from the centre of a circle is 12cm , find the diameter of the circle.

    A
    25 cm
    B
    24 cm
    C
    7 cm
    D
    14 cm
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