3).A Circle of radius 5cm is Congruent to a Circle of radius 3cm. Is it correct ?
step by step
Answers
Answered by
1
Answer:
100 percent correct answer
Answered by
2
Step-by-step explanation:
Let the common chord be AB and P and Q be the centers of the two circles.
∴AP=5cm and AQ=3cm.
PQ=4cm ....given
Now, segPQ⊥chord AB
∴AR=RB=
2
1
AB ....perpendicular from center to the chord, bisects the chord
Let PR=xcm, so RQ=(4−x)cm
In △ARP,
AP
2
=AR
2
+PR
2
AR
2
=5
2
−x
2
...(1)
In △ARQ,
AQ
2
=AR
2
+QR
2
AR
2
=3
2
−(4−x)
2
...(2)
∴5
2
−x
2
=3
2
−(4−x)
2
....from (1) & (2)
25−x
2
=9−(16−8x+x
2
)
25−x
2
=−7+8x−x
2
32=8x
∴x=4
Similar questions