Question

'o' is the center of the circle whose radius is 10 cm find the distance of the chord from the center if the length of the is 12 cm​

Answer 1

Answer:

1. Distance of the centre to the chord = AB. CD is perpendiculaar to the chord AB. Perpendicular drawn from the centre of the circle to the chord bisects the chord. Thus, distance of the chord from the centre is 8 cm.

Answer 2

$\sf{\huge{\underline{\pink{Given :-}}}}$

• 'O' is the center of the circle whose radius is 10 cm.

• The center if the length of the chord is 12 cm.

$\sf{\huge{\underline{\orange{To\:Find :-}}}}$

• The distance of the chord from the center.

$\sf{\huge{\underline{\red{Answer :-}}}}$

The distance of the chord from the center be x,

According to the question ,

'O' is the center of the circle whose radius is 10 cm.

• R = 10 cm

The center if the length of the chord is 12 cm.

We know that, the length of the chord of a circle is

$\sqrt{2( {r}^{2} - {d}^{2} )}$

➝ 12 = $\sqrt{2( {10}^{2} - {d}^{2} )}$

➝ 12 = $2 \sqrt{100 - {d}^{2} }$

➝ 12/2 = $\sqrt{100 - {d}^{2} }$

➝ 6 = $\sqrt{100 - {d}^{2} }$

➝ (6)² = 100 - d²

➝ 36 = 100 - d²

➝ d² = 100 - 36

➝ d² = 64

➝ d = √64

➝ d = 8 cm

The distance of the chord from the center is 8 cm .