Question

A chord of a circle of radius 7.5 cm with centre O is of length 9 cm find the distance fro centre​

Answer 1

$\sf\purple{The~ distance ~from~ the ~centre ~of ~the ~circle~ is ~6 cm.}$

$\huge\bold\red{Given}$

Let the radius of the circle be r, half the length of the chord will be .

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}$

${⇒}$${7.5}^{2}$=($\frac{9}{2})^{2}$

${⇒}$${d}^{2}$=${7.5}^{2}-{4.5}^{2}$

${⇒}$${d}^{2}$=${56.25}-{20.25}$

${⇒}$${d}^{2}=36$

${⇒}$${d}^{2} \sqrt{36}$

${⇒}$$\sf{d=6 cm}$

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