Question

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⏩ Solve this as soon as possible

In the given figure OM Perpendicular to AB , radius of the circle is 5 cm and length of the chord AB = 8 . Find the measures of OM

✍ ⏩ Draw a figure by yourself

⏩ Figure as follow :-

♦ Draw a circle
♦ Draw chord AB inside the circle
♦ AB is perpendicular to OM

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Warm Regards
@ Brainlestuser , Brainly Team

Answer 1

hi....

since OM is perpendicular to AB.
therefore, AM IS HALF OF AB.
therefore AM is equal to half of the length of the chord
that is, 4 cm.

NOW IN RIGHT TRIANGLE OMA,
OM SQ.= OA SQ - AM SQ.
9 CM

Answer 2

Hey!!
Here is your answer.

In the adjoining figure,
AB = 8 cm
OA = 5 cm

AB = 2 AM..... Because OM is perpendicular to AB...given

8 cm = 2 AM
$\frac{8}{2} = AM\\ \\ 4 \: cm \: = \: AM$

$In \: \triangle \: OMA \\ \angle \: OMA \: = 90 {}^{0}$

By Pythagoras theorem..
${AM}^{2} + {OM}^{2} = {ao}^{2}$

${4}^{2} + {OM}^{2} = {5}^{2}$
${OM}^{2} = {5}^{2} - 4 {}^{2} \\ {OM}^{2} = 25 - 16 \\ {OM}^{2} = 9 \\ OM = \sqrt{9 } \\ OM = 3 \: cm$

Answer,
Length of OM is 3 cm.
____________________________
This is the answer.
I hope it helps you.