Question

the distance of 10 cm long chord from the centre is 3cm , find the diameter of the circle
help urgent​

Answer 1

Answer:

A 1.5 cm chord is at distance x, such that x^2 + (1.5/2)^2 = R^2, or

x^2 = 34 - (0.75)^2 which gives x = 5.782516753

Answer 2

Diameter of the circle is 26 cm

A 10cm long chord is drawn 12cm away from the centre of the circle.

let radius of the circle is r.

we know, chord is perpendicularly bisected by the radius of the circle.

see figure,

(5cm)² + (12cm)² = r²

⇒25 cm² + 144 cm² = r²

⇒ 169 cm² = (13cm)² = r²

⇒r = 13cm

now, diameter of circle is 2 × 13 = 26cm