Advertisements
Advertisements
Question
The length of a tangent drawn from a point at a distance of 10 cm of the circle is 8 cm. The radius of the circle is ______
Options
4 cm
5 cm
6 cm
7 cm
MCQ
Fill in the Blanks
Solution
The length of a tangent drawn from a point at a distance of 10 cm of the circle is 8 cm. The radius of the circle is 6 cm.
Explanation:
In rt. AOAP, we have
OA² + AP² = OP²
⇒ OA² + (8)² = (10)2
⇒ OA² + 64 = 100
⇒ OA² = 100 - 64 = 36
∴ OA = `sqrt36` = 6 cm
shaalaa.com
Is there an error in this question or solution?
