Question

1. If the length of a chord of a circle is 16 cm and is at a distance of 15 cm from the
centre of the circle, then the radius of the circle is
(a) 15 cm
(b) 16 cm
(c) 17 cm (d) 34 cm​

Answer 1

Answer:

17cm

Step-by-step explanation:

Hope you understand!

Answer 2

Solution :

Given,

length of chord AB 16 cm,

OL perpendicular AB such that OL = 15 cm.

We know that perpendicular from the centre of a circle to a chord bisects the chord

AL = LB

= AB/2

= 16/2

= 8 cm

In ΔOAL,

OA² = OL² + AL² [By Pythagoras theorem]

OA² = (15)² + (8)²

OA² = 289

OA = 17 cm [ OA ≠ -17, as length can't be negative ]

=> option c is correct option