Question

Radius of a circle with centre O is 15 cm. Find the distance of a chord from the centre if length of the chord is 24 cm​

Answer 1

Answer:

love higher education

Answer 2

Answer:

9cm

Step-by-step explanation:

L=length of chord

R=radius of circle

h=distance from centre

$l = 2 \sqrt{ {r}^{2} - {h}^{2} }$

$24 = 2 \sqrt{ {15}^{2} - {h}^{2} }$

$24 = 2 \sqrt{225 - {h}^{2} }$

$\sqrt{225 - {h }^{2} } = 12$

$225 - {h}^{2} = {12}^{2}$

${h}^{2} = 225 - 144$

${h}^{2} = 81$

$h = 9cm$

Hope u understand the solution, I have just used the basic Pythagoras theorem

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