The radius of a circle is 6 cm. The distance of a point

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The radius of a circle is 6 cm. The distance of a point

Home » Aptitude » Plane Geometry » Question

The radius of a circle is 6 cm. The distance of a point lying outside the circle from the centre is 10 cm. The length of the tangent drawn from the outside point to the circle is

1. 5 cm
2. 6 cm
3. 7 cm
4. 8 cm

Correct Option: D

According to question , we draw a figure of a circle with centre O ,

Here , OB = 6 cm and OA = 10 cm
∠OBA = 90°
∴ AB = √OA² - OB²
AB = √10² - 6²
AB = √100 - 36
AB = √64 = 8 cm