7. If a wire of 440 m length is moulded in the form
find the ratio of the area of the circle to that of square. ?
8. Find the area of the square that can be inscribed in a cir
9. The diameter of a circular park is 24 m. A 3 m wide path
runs around it from inside. Find the cost of paving the
path at * 25 per square meter.
10. A paper is in the form of a rectangle PQRS in which
PQ = 10 cm and QR = 7 cm. Two semi-circular portions
with QR and PS as diameters are cut off (As shown in
figure 11.22). Find the area of the remaining part.
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Answer:
Given
2πr=440
4a=440
find
ratio of →
areaofsquare
areaofcircle
sol
2πr=440
r=
2π
440
=
π
220
circle (Area) = πr
2
=π×
π
220
×
π
220
⇒
π
(220)
2
4a=440
a=110
Area sq = a
2
=110×110
∴ Ratio =
π×110×110
220×220
⇒
π
4
[∵π=
7
22
]
⇒
22
4
⇒
22
4
×7=
22
28
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