1) Radius of a circle is 5cm.The length of a chord of the circle is 8cm.Find the distance of the chord from the circle. About the author Savannah
Answer: Let AB =8 cm. be the chord of the circle with radius AO=5 cm. Draw OP⊥AB.join OA according to the theorem AP= 2 1 AB= 2 1 ×8=4cm. In △APO,∠A=90 ∘ ∴(AO) 2 =(AP) 2 +(OP) 2 OP= (AO) 2 −(AP) 2 ⇒ 5 2 −4 2 ⇒ 9 ⇒OP=3cm Reply
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Answer:
Let AB =8 cm. be the chord of the circle with radius AO=5 cm.
Draw OP⊥AB.join OA
according to the theorem
AP=
2
1
AB=
2
1
×8=4cm.
In △APO,∠A=90
∘
∴(AO)
2
=(AP)
2
+(OP)
2
OP=
(AO)
2
−(AP)
2
⇒
5
2
−4
2
⇒
9
⇒OP=3cm