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Perimeter and Area MATHEMATICS - Perimeter and Area

ICSE - STD 9 - MATHEMATICS (ICSE - English Medium). 114 questions in this chapter.

Question types

Perimeter and Area question types

114 questions across 5 question groups — pick any mix to generate a MATHEMATICS paper with step-by-step answer keys.

114
Questions
5
Question groups
5
Question types
Sample Questions

Perimeter and Area questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 7[3 marks sum]3 Marks
Find the radius and area of the circle which has circumference equal to the sum of circumferences of the two circles of radii $3 \ cm$ and $4 \ cm$ respectively.
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Q 12[4 marks sum]4 Marks
Find the area of the biggest circle that can be cut from a rectangular piece $44\ cm$ by $28\ cm$. also, find the area of the paper left after cutting out the circle.
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Q 13[4 marks sum]4 Marks
The cost of fencing a circular field at the rate of $Rs.250$ per metre is $Rs.55000.$ The field is to be ploughing at the rate of $Rs.15$ per $m^2.$ Find the cost of ploughing the field.
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Q 14[4 marks sum]4 Marks
A lawn is in the shape of a semicircle of diameter $42\ m.$ the lawn is surrounded by a flower bed of width $7\ m$ all round. Find the area of the flower bed in $m^2.$
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Q 15[4 marks sum]4 Marks
A wire in the form of a circle of radius $42\ cm$. It is bent into a square. Determine the side of the square and compare the area of the regions enclosed in the two cases.
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Q 16[4 marks sum]4 Marks
A wire bent in the form of an equilateral triangle has an area of $121 \sqrt{3} \ cm ^2$. If the same wire is bent into the form of a circle, find the area enclosed by the wire.
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Q 18[5 marks sum]5 Marks
Two circles touch each other externally. The sum of their areas is $58\pi \ cm^2$ and the distance between their centres us $10\ cm$. Find the radii of the two circles.
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Q 19[5 marks sum]5 Marks
A $4.2\ m$ wide road surrounds a circular plot whose circumference is $176\ m.$ Find the cost of paving the road at $Rs.75$ per $m^2.$
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Q 20[5 marks sum]5 Marks
A $7\ m$ wide road surrounds a circular garden whose area is $5544\ m^2$. Find the area of the road and the cost of tarring it at the rate of $Rs.150$ per $m^2.$
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