8. Find the area of the larger circle that can be drawn inside the given rectangle of length 'a
cm and breadth 'b' cm (ab)
Answers
Answered by
1
Answer:
ab
Step-by-step explanation:
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Answered by
0
Answer:
Given−
ABCDisarectanglewiththelengthAB=a&the
breadthBC=bwhena>b.
ThegreatestcirclehasbeendrawninABCD.
Tofindout−
thevalidityofthestatementthatar.circle=πb
2
cm
2
.
Solution−
Weknowthatthegreatestcircleinarectanglewillhave
eitherlengthorbreadthasdiameterasthecirclemust
touchtwooppositesidesineachcase.
∴Itsdiametershouldbeeitheraorb.
Soar.circle=eitherπ(
2
a
)
2
=
4
π
a
2
=0.79a
2
orπ(
2
b
)
2
=
4
π
b
2
=0.79b
2
.
Alsoar.ABCD=a×b.
Nowtheareaofthecirclemustbe=or<thanthat
oftherectangle.
Here0.79a
2
isdefinitely>a×b&0.79b
2
isdefinitely<a×b
sincea>b.
Sothear.circlehereis
4
π
b
2
.
∴Thegivenstatementisnotcorrect.
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