Math, asked by Alwin3211, 9 months ago

The length of chord of A circle is 30 CM and it's distance from the centre is 8 CM find the radius of circle 10 CM

Answers

Answered by theawesomeishere
14

Answer:

17 cm is the radius of the circle.

Step-by-step explanation:

In the attached picture, AB is the 30 cm chord.

The 8cm line CD from center of circle will be perpendicular to the chord AB

Also,  CD bisects the chord AB

AC is the radius of the circle

Now, Let's calculate AC through pythagoram theorem

   AC² = CD² + AD²

⇒ AC² = 8² + 15²

⇒ AC² = 64 + 225

⇒ AC² = 289

⇒ AC = 17 cm

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