Question

O is centre of circle. find the length of radius, If the chord of length 16 cm is at a distance of 9 cm from the centre of the circle.
is ka answer directly 10 cm hai so kisi ko aata hai to pura solve karna or answer bhi yahi aaye
please help me GUYS ​

Answer 1

Step-by-step explanation:

OA is radius

O is the centre of circle.

AB is the chord and OC⊥AB

Segment between the centre of circle bisect the chord into two parts

∴AC=CB=

2

1

AB

∴AC=CB=12

Now ΔOCB is right angle triangle

∴ by Pythagoras theorem

(OC)

2

+(AC)

2

=(OA)

2

(9)

2

+(12)

2

=(OA)

2

81+144=(OA)

2

225=(OA)

2

∴ Taking square root both sides

∴15=OA

∴ The radius of circle 15cm

solution