Question 12 Marks
A circle is inscribed in a square of area $784 cm^2$. Find the area of the circle.
Answer
View full question & answer→$616 cm^2$
[Hint : Diameter of circle = side of the square]
[Hint : Diameter of circle = side of the square]
Questions · Page 1 of 2
[2 Mark Question Answer]
🎯
Test yourself on this topic
50 questions · timed · auto-graded
Question 22 Marks
From a rectangular cardboard sheet 145 cm long and 32 cm broad, 42 circular plates each of diameter 8 cm have been cut out. Find the area of the remaining portion of the sheet.
Answer
View full question & answer→$2528 cm^2$
Question 32 Marks
A wire when bent in the form of square, encloses an area of $146.41 cm^2$. If this wire is straightened and then bent to form a circle, what will be the area of the circle so formed?
Answer
View full question & answer→$186.34 cm^2$
Question 42 Marks
In a rectangular plot of land 70 m long and 40 m broad, a circular garden of radius 17.5 m is developed. Find the cost of turfing the remaining portion at the rate of ₹ 28.50 per sq. metre.
Answer
View full question & answer→₹ 52368.75
Question 52 Marks
Taking $\pi=3.14$, find the radius and circumference of a circle whose area is : $379.94 m^2$
Answer
View full question & answer→$11 m, 69.08 m$
Question 62 Marks
Taking $\pi=3.14$, find the radius and circumference of a circle whose area is : $200.96 cm^2$
Answer
View full question & answer→$8 cm, 50.24 cm$
Question 72 Marks
Find the radius and circumference of a circle whose area is : $186.34 cm^2$
Answer
View full question & answer→$7.7 cm, 48.4 cm$
Question 82 Marks
Find the radius and circumference of a circle whose area is : $55.44 m^2$
Answer
View full question & answer→$4.2 m, 26.4 m$
Question 92 Marks
Taking $\pi$ = 3.14, find the area of a circle whose radius is : 15 m
Answer
View full question & answer→$706.5 m^2$
Question 102 Marks
Taking $\pi$ = 3.14, find the area of a circle whose radius is : 10 cm
Answer
View full question & answer→$314 cm^2$
Question 112 Marks
Find the area of a circle whose diameter is : 30.8 cm
Answer
View full question & answer→$745.36 cm^2$
Question 122 Marks
Find the area of a circle whose diameter is : 18.2 cm
Answer
View full question & answer→$260.26 cm^2$
Question 132 Marks
Find the area of a circle whose radius is : 8.4 m
Answer
View full question & answer→$221.76 cm^2$
Question 142 Marks
Find the area of a circle whose radius is : 2.8 m
Answer
View full question & answer→$24.64 m^2$
Question 152 Marks
The area of a circular garden is $5544 m^2$. Outside this garden, a path of uniform width is laid all around. The area of the path is $2002 m^2$. Find : the width of the path.
Answer
View full question & answer→7 m
Question 162 Marks
The area of a circular garden is $5544 m^2$. Outside this garden, a path of uniform width is laid all around. The area of the path is $2002 m^2$. Find : the radius of the circular garden.
Answer
View full question & answer→49 m
Question 172 Marks
The area of a ring is $528 cm^2$ and the radius of the outer circle is 17 cm . Find : the width of the ring.
Answer
View full question & answer→6 cm
Question 182 Marks
The area of a ring is $528 cm^2$ and the radius of the outer circle is 17 cm . Find : the radius of the smaller circle.
Answer
View full question & answer→11 cm
Question 192 Marks
A circular field of radius 41 m has a circular path of uniform width 5 m along and inside its boundary. Find the cost of paving the path at ₹ 25 per sq. metre.
Answer
View full question & answer→30250
Question 202 Marks
A path of width 3.5 m runs all around a circular pool having an area of $962.5 m^2$. Find the area of the path.
Answer
View full question & answer→$423.5 m^2$
Question 212 Marks
Find the area of the space enclosed by two concentric circles of radii 25 cm and 17 cm .
Answer
View full question & answer→$1056 cm^2$
Question 222 Marks
$P Q R S$ is a parallelogram whose adjacent sides $P Q=20 cm$ and $Q R=21 cm$ one of its diagonals $P R=13 cm$, find : the distance between the shorter sides.
Answer
View full question & answer→12.6 cm
Question 232 Marks
$P Q R S$ is a parallelogram whose adjacent sides $P Q=20 cm$ and $Q R=21 cm$ one of its diagonals $P R=13 cm$, find : the distance between the longer sides.
Answer
View full question & answer→12 cm
Question 242 Marks
$P Q R S$ is a parallelogram whose adjacent sides $P Q=20 cm$ and $Q R=21 cm$ one of its diagonals $P R=13 cm$, find : the area of the parallelogram PQRS.
Answer
View full question & answer→$252 cm^2$
Question 252 Marks
The area of a rhombus is $234 cm^2$. If one of the diagonals is 19.5 cm long, find the length of the other diagonal.
Answer
View full question & answer→24 cm
Question 262 Marks
Find the area of a rhombus having each side equal to 20 cm and one of its diagonals equal to 24 cm .
Answer
View full question & answer→$384 cm^2$
Question 272 Marks
Find the area of rhombus whose diagonal is : $17.8 cm, 25 cm$
Answer
View full question & answer→$222.5 cm^2$
Question 282 Marks
Find the area of rhombus whose diagonal is : $12 cm, 21 cm$
Answer
View full question & answer→$126 cm^2$
Question 292 Marks
$A B C D$ is a parallelogram having adjacent sides $A B=35 cm$ and $B C=28 cm$. If the distance between its longer sides is 8 cm , find : the distance between its shorter sides.
Answer
View full question & answer→10 cm
Question 302 Marks
$A B C D$ is a parallelogram having adjacent sides $A B=35 cm$ and $B C=28 cm$. If the distance between its longer sides is 8 cm , find : the area of the parallelogram
Answer
View full question & answer→$280 cm^2$
Question 312 Marks
The height of a parallelogram is three-eighths of its base. If the area of the parallelogram is $96 cm^2$, find its height and base.
Answer
View full question & answer→6 cm, 16 cm
Question 322 Marks
Find the area of the shaded region of the given figure :
Answer
View full question & answer→$130 cm^2$
Question 332 Marks
Find the area of the shaded region of the given figure :
Answer
View full question & answer→$175 cm^2$
[Hint : (iv) Required area $=$ Area rect. $A B C D-$ Area $\triangle ABE ]$
[Hint : (iv) Required area $=$ Area rect. $A B C D-$ Area $\triangle ABE ]$
Question 342 Marks
Find the area of the shaded region of the given figure :
Answer
View full question & answer→$239.8125 cm^2$
Question 352 Marks
Find the area of the shaded region of the given figure :
Answer
View full question & answer→$72 cm^2$
Question 362 Marks
Find the area of the shaded region of the given figure :
Answer
View full question & answer→$150 cm^2$
Question 372 Marks
Find the area of a right triangle whose hypotenuse is 26 cm long and one of the sides containing the right angle measures 10 cm.
Answer
View full question & answer→$120 cm^2$
Question 382 Marks
The base and the height of a triangle are in the ratio $5: 3$ and its area is $43.2 m^2$. Find the base and the height of the triangle.
Answer
View full question & answer→$12 m, 7.2 m$
Question 392 Marks
Find the area of an isosceles triangle in which each of the equal sides measures 30 cm and the third side is 48 cm long.
Answer
View full question & answer→$432 cm^2$
Question 402 Marks
Find the area of the triangle whose sides are 50 cm, 48 cm and 14 cm. Find the height of the triangle corresponding to the side measuring 48 cm.
Answer
View full question & answer→$336 cm^2, 14 cm$
Question 412 Marks
Find the area of the triangle whose sides are 13 cm, 20 cm and 21 cm. Also find the altitude of the triangle corresponding to the largest side.
Answer
View full question & answer→$126 cm^2, 12 cm$
Question 422 Marks
Find the base of the triangle whose : area $=2.4 dm ^2$, height $=80 cm$
Answer
View full question & answer→6 cm
Question 432 Marks
Find the base of the triangle whose : area $=4.2 m^2$, height $=2.4 m$
Answer
View full question & answer→3.5 m
Question 442 Marks
Find the height of the triangle whose : area $=56 dm ^2$, base $=2.8 m$
Answer
View full question & answer→4 dm
Question 452 Marks
Find the height of the triangle whose : area $=28.9 m^2$, base $=8.5 m$
Answer
View full question & answer→6.8 m
Question 462 Marks
Find the area of the triangle, having : base = 9.5 cm, height = 6 mm
Answer
View full question & answer→$2.85 cm^2$
Question 472 Marks
Find the area of the triangle, having : base = 6.4 m, height = 8 dm
Answer
View full question & answer→$256 dm ^2$
Question 482 Marks
Find the area of the triangle, having : base = 5.6 m, height = 3.5 m
Answer
View full question & answer→$9.8 m^2$
Question 492 Marks
Find the area of the triangle, having : base = 16 cm, height = 7.5 cm
Answer
View full question & answer→$60 cm^2$
Question 502 Marks
The cost of painting the top surface of a triangular board at 80 paise per square metre is ₹ 176.40. If the height of the board measures 24.5 m, find its base.
Answer
View full question & answer→18 m