Question

A chord of a circle of radius 7.5 cm with center o
is of length 9cm . Find the distance from center​

Answer 1

$\bf \huge \pink Question:-$

A chord of a circle of radius 7.5 cm with center o

is of length 9cm . Find the distance from center

$\bf \huge \pink answer$

______________________

$\bf \large\ \{Notable \: point \}$

• ∵ PM = MQ = 1/2 = PQ = 45 cm

• and OP = 7.5 cm

$\bf \underline\pink FORMULA \: USED$

$\bf \large {h}^{2} = {b}^{2} + {p}^{2}$

In right angled ΔOMP, using phthagoras theorem

• OM2 = OP2 - PM2

• ⇒OM2 = 7.52 - 4.52

• ⇒OM2 = 56.25 - 20.25

• ⇒OM2 = 36

• ∴ OM = √36 = 6 cm

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Answer 2

$\huge\underline\bold\orange{quєstíσn}$

A chord of a circle of radius 7.5 cm with center o

is of length 9cm . Find the distance from center

$\bf \huge \pink answer$

______________________

$\bf \large\ \{Notable \: point \}$

∵ PM = MQ = 1/2 = PQ = 45 cm

and OP = 7.5 cm

$\bf \underline\pink FORMULA \: USED </p><p>$

$\bf \large {h}^{2} = {b}^{2} + {p}^{2}$

In right angled ΔOMP, using phthagoras theorem

• OM2 = OP2 - PM2
• ⇒OM2 = 7.52 - 4.52
• ⇒OM2 = 56.25 - 20.25
• ⇒OM2 = 36
• ∴ OM = √36 = 6 cm

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