Question

length of a chord of a circle of radius 7.5 cm is 9 cm find it distance from the centre of the circle

Answer 1

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Answer 2

The distance from the centre of the circle is 6 cm.

Step-by-step explanation:

Given:

Let the radius of the circle be r, half the length of the chord will be $\frac{c}{2}$.

Also the distance from centre of circle d form a right-angled triangle with the radius of the circle r as the hypotenuse of the triangle h.

⇒$r^2=(\frac{c}{2})^2+d^2$

⇒$7.5^2 = (\frac{9}{2} )^2 + d^2$

⇒$d^2 = 7.5^2 - 4.5^2$

⇒$d^2 = 56.25 -20.25$

⇒$d^2 = 36$

⇒$d=\sqrt{36}$

⇒d=6 cm

The distance from the centre of the circle d =6 cm.