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[tex] \large\dag\sf\blue{question}[/tex]
XY is a tangent to two circles of radii 12cm and 4 cm respectively.If the circles touch each other Find the area of the region bounded by the circles and tangents.
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[tex] \large\dag\sf\blue{question}[/tex]
XY is a tangent to two circles of radii 12cm and 4 cm respectively.If the circles touch each other Find the area of the region bounded by the circles and tangents.
NOTE: there is no figure.
Draw the figure by yourself.
Please don't spam.
Thank You!
Answers & Comments
Answer:
Solution
verified
Verified by Toppr
Correct option is A)
Consider two circles of radii 12cm and 4cm with centers B and A respectively.
The length of direct common tangent to both the circles is 15cm.
CD=15 cm
CD=BE=15 cm
AE=AC−CE
AE=12−4=8 cm
AB=x cm
In the right triangle BEA,
Using Pythagoras theorem,
BE
2
+EA
2
=BA
2
x
2
=8
2
+15
2
x
2
=289
x=17 cm
Hence, the given statement is true.
Verified answer
Answer:
So here is your answer
Construct EC// AB
AB= 15 cm=EC
AD=12cm
CB=4cm
DE=12-4=8cm
(Tangent is perpendicular to radius)
ABCD is rectangle and DEC is a right-angle triangle
SO,
DC²=EC²+DE²
DC=12cm
Step-by-step explanation:
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