a chord of the circle is 20 CM in length and distance from it the centre is 24 cm find the radius of the circle
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Answered by
1
Answer:
- draw a circle and draw a chord which is 20cm and the distance from the centre to chord is 24cm.
- the length changes Frome one end of the chord to the centre will change and from the other end to the centre of the circle will change.so the question is incomplete.
- but in general we do this like
- the same first method but draw line from centre of the circle to the centre of the chord.
- now draw a joining line from the centre of the circle to one end of the circle.
- now from centre to end is 24cm
- from centre of the chord to the centre of circle is 10 because it's centre.so,20/2=10.
- now find the third side with phytogorous theory.
- That's it.
Answered by
4
▪Given:
- Radius = 15 cm,
- AB = 24 cm,
- CD = 20 cm.
▪To find:
- FG
In ΔBOG
By Pythagoras theorem,
(OG)² = (OB)² - (BG)²
(OG)² = (15)² - (12)²
(OG)² = 225 - 144 = 81 ___(1)
Similarly, in ΔCOF
(OF)² = (OC)² - (CF)²
(OF)² = (15)² - (10)²
(OF)² = 225 - 100 = 125 ___(2)
And in ΔGOF
(FG)² = (OF)² + (OG)²
(FG)² = 125 + 81 = 206
FG = √206
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