A copper wire when bent in the form of a square encloses an area of 484 cm^2. The same wire is not bent in the form of a circle. Find the area enclosed by the circle.
A wire when bent in the form of an equilateral triangle encloses an area of 121√3 cm^2. The same wire is bent to form a circle. Find the area enclosed by the circle.
The sum of the radii of two circles is 7 cm, and the difference of their circumferences is 8 cm. Find the circumference of the circles.
A racetrack is in the form of a ring whose inner circumference is 352 m and outer circumference is 396 m. Find the width and the area of the track.
The length of an arc of a circle, subtending an angle of 54^0 at the centre, is 16.5 cm. Calculate the radius, circumference and area of the circle.
The radius of a circle with centre O is 7 cm. Two radii OA and OB are drawn at right angles to each other. Find the areas of minor and major segments.
Find the lengths of the arcs cut off from a circle of radius 12 cm by a chord 12 cm long. Also, find the area of the minor segment. (Take pi = 3.14 and √3 = 1.73)
A chord 10 cm long is drawn in a circle whose radius is 5√2 cm. Find the areas of both segments. (Take pi = 3.14)
Find the areas of both the segments of a circle of radius 42 cm with central angle 120^0. (Given sin 120^0 = √3/2 and √3 = 1.73)
A chord of a circle of radius 30 cm makes an angle of 60^0 at the centre of the circle. Find the areas of the minor-major segments. (take pi = 3.14 and √3 = 1.7)
A rope by which a cow is tethered is increased from 16 m to 23 m. How much additional ground does it have now to graze?
A horse is placed for grazing inside a rectangular field 70 m by 52 m. It is tethered to one corner by a rope 21 m long. On how much area can it graze? How much area is left ungrazed?
A horse is tethered to one corner of a field which is in the shape of an equilateral triangle of side 12 m. If the length of the rope is 7 m, find the area of the field which the horse cannot graze. (Take √3 = 1.73). Write the answer correct to 2 places of decimal.
Four cows are tethered at the four corners of a square field of side 50 m such that each can graze the maximum unshared area. What area will be left ungrazed? (take pi = 3.14)
In the given figure, OPQR is a rhombus, three of whose vertices lie on a circle with centre O. If the area of the rhombus is 32√3 cm^2, find the radius of the circle.
The side of a square is 10 cm. Find (i) the area of the inscribed circle, and (ii) the area of the circumscribed circle. (take pi = 3.14)
What is the diameter of a circle whose area is equal to the sum of the areas of two circles of diameters 10 cm and 24 cm?
If the area of the circle is numerically equal to twice its circumference then what is the the diameter of the circle?
Find the length of the arc of a circle of diameter 42 cm which subtends an angle of 60^0 at the centre.
Find the diameter of the circle whose area is equal to the sum of the areas of two circles having radii 4 cm and 3 cm.
The radii of two circles are 8 cm and 6 cm. Find the radius of the circle having area equal to the sum of the areas of the two circles.
A pendulum swings through an angle of 30^0 and describes an arc 8.8 cm in length. Find the length of the pendulum.
The area of the sector of a circle of radius 10.5 cm is 69.3 cm^2. Find the central angle of the sector.
The perimeter of a certain sector of a circle of radius 6.5 cm in 31 cm. Find the area of the sector.
The radius of a circle is 17.5 cm. Find the area of the sector enclosed by two radii and an arc 44 cm in length.
Two circular pieces of equal radii and maximum area, touching each other are cut out from rectangular cardboard of dimensions 14cm x 7cm. Find the area of the remaining cardboard.
In the given figure, ABCD is a square of side 4 cm. A quadrant of a circle of radius 1 cm is drawn at each vertex of the square and a circle of diameter 2 cm is also drawn. Find the area of the shaded region. (Use π = 3.14)
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