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The length of the tangent drawn to a circle of radius 4 cm from a point 5 cm away from the centre of the circle is (SSC CGL 1st Sit. 2013)
- a)3 cm
- b)4√2 cm
- c)5√2 cm
- d)3√2 cm
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
The length of the tangent drawn to a circle of radius 4 cm from a poin...
Here OB = 4 cm (radius)
OA = 5 cm
As AB is a tangent to the circle,
∴ ∠OBA = 90°
OA = 5, OB = 4
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Community Answer
The length of the tangent drawn to a circle of radius 4 cm from a poin...
- **Given information**
Given that the radius of the circle is 4 cm and the point is 5 cm away from the center of the circle.
- **Finding the length of the tangent**
To find the length of the tangent, we can use the property that the length of the tangent from an external point to a circle is equal to the radius of the circle.
- **Applying the property**
Since the point is 5 cm away from the center of the circle, the length of the tangent drawn from this point to the circle will be equal to the radius of the circle, which is 4 cm.
- **Calculating the length**
Therefore, the length of the tangent drawn to the circle of radius 4 cm from a point 5 cm away from the center of the circle is 4 cm.
- **Conclusion**
Hence, the correct answer is option **A) 3 cm**.
Given that the radius of the circle is 4 cm and the point is 5 cm away from the center of the circle.
- **Finding the length of the tangent**
To find the length of the tangent, we can use the property that the length of the tangent from an external point to a circle is equal to the radius of the circle.
- **Applying the property**
Since the point is 5 cm away from the center of the circle, the length of the tangent drawn from this point to the circle will be equal to the radius of the circle, which is 4 cm.
- **Calculating the length**
Therefore, the length of the tangent drawn to the circle of radius 4 cm from a point 5 cm away from the center of the circle is 4 cm.
- **Conclusion**
Hence, the correct answer is option **A) 3 cm**.
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The length of the tangent drawn to a circle of radius 4 cm from a point 5 cm away from the centre of the circle is (SSC CGL 1st Sit. 2013)a)3 cmb)4√2 cmc)5√2 cmd)3√2 cmCorrect answer is option 'A'. Can you explain this answer?
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