The perimeter of a semicircular plate is $108 \ cm$. find its area.
View full solution →Question types
Area and Perimeter of Plane Figures question types
109 questions across 4 question groups — pick any mix to generate a MATHEMATICS paper with step-by-step answer keys.
109
Questions
4
Question groups
5
Question types
Sample Questions
Area and Perimeter of Plane Figures questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
The diameters of two circles are $32 \ cm$ and $24\ cm$. Find the radius of the circle having its area equal to the sum of the areas of the two given circles.
View full solution →The sum of the circumference and diameter of a circle is $116 \ cm.$ Find its radius.
View full solution →A square is inscribed in a circle of radius $7\ cm.$ Find the area of the square.
View full solution →The diameter of a circle is $28 \ cm.$Find its $:\ (i)$ Circumference$ (ii)$ Area.
View full solution →A steel wire, when bent in the form of a square, encloses an area of $121\ cm^2.$ The same wire is bent in the form of a circle. Find area the circle.
View full solution →Find the area and the perimeter of a square with diagonal $24 \ cm . [$Take $\sqrt{2}=1.41 ]$
View full solution →Two circles touch each other externally. The sum of their areas is $74\pi \ cm^2$ and the distance between their centers is $12\ cm.$ Find the diameters of the circle.
View full solution →The radius of a circle is $5\ m$. Find the circumference of the circle whose area is $49$ times the area of the given circle.
View full solution →The radii of two circles are $25 \ cm$ and $18 \ cm$. Find the radius of the circle which has a circumference equal to the sum of circumferences of these two circles.
View full solution →Using the information in the following figure, find its area.
The following figure shows a square cardboard $\text{ABCD}$ of side $28 \ cm$. Four identical circles of the largest possible sizes are cut from this card as shown below.
Find the area of the remaining card$-$board.
View full solution →Find the area of the remaining card$-$board.
The radii of two circles are $48 \ cm$ and $13 \ cm$. Find the area of the circle which has its circumference equal to the difference of the circumferences of the given two circles.
View full solution →A metal wire, when bent in the form of an equilateral triangle of largest area, encloses an area of $484 \sqrt{3} \ cm^2$. If the same wire is bent into the form of a circle of largest area, find the area of this circle.
View full solution →The cost of fencing a circular field at the rate of $Rs. 240$ per meter is $Rs.52,800$. The field is to be ploughed at the rate of $Rs. 12.50$ per $\sim m^2$. Find the cost of pouching the field.
View full solution →The diameters of the front and the rear wheels of a tractor are $63 \ cm$ and $1.54\ m$ respectively. The rear wheel is rotating at $24 \frac{6}{11}$ revolutions per minute. Find:$(i)$ the revolutions per minute made by the front wheel.$(ii)$ the distance traveled bu the tractor in $40$ minutes.
View full solution →Two circles touch externally. The sum of their areas is $130\pi sq. \ cm$ and the distance between their centers is $14 \ cm$. Find the radii of the circles.
View full solution →Sum of the areas of two squares is $400 \sim cm^2$. If the difference of their perimeters is $16 \ cm$, find the sides of the two squares.
View full solution →A triangle and a parallelogram have the same base and the same area. If the side of the triangle is $26 \sim \ cm, 28 \sim \ cm$, and $30 \sim \ cm$ and the parallelogram stands on the base $28 \sim \ cm$, find the height of the parallelogram.
View full solution →The perimeter of a triangle is $450\ m$ and its side are in the ratio $12: 5: 13$.Find the area of the triangle.
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