Advertisements
Advertisements
प्रश्न
The following figure shows a square cardboard 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.
उत्तर
Area of the square is given by
A = 282
= 784 cm2
Since there are four identical circles inside the square.
Hence the radius of each circle is one-fourth of the side of the square.
Area of one circle = π x 72
= 154 cm2
Area of four circle = 4 x 154cm2
= 616 cm2
Area remaining = 784 - 616
= 168 cm2
The area remaining in the cardboard is = 168 cm2.
APPEARS IN
संबंधित प्रश्न
Prove that the area of a circular path of uniform width h surrounding a circular region of radius r is `pih(2r+h)`
Find the area of the circle in which a square of area 64 cm2 is inscribed. [Use π = 3.14]
Write the formula for the area of a sector of angle \[\theta\] (in degrees) of a circle of radius r.
In the given figure, a circle is inscribed in an equilateral triangle ABC of side 12 cm. Find the radius of inscribed circle and the area of the shaded region.
[Use `sqrt(3)= 1.73, pi = 3.14]`
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.
The minute hand of a clock is 8 cm long. Find the area swept by the minute hand between 8.30 a.m. and 9.05 a.m.
Two circles touch each other externally. The sum of their areas is 58πcm2 and the distance between their centres us 10cm. Find the radii of the two circles.
The ratio of the area of a circle to the area of its semicircle is
A pendulum swings through an angle of 30∘ and describes an arc 8.8 cm in length. Find the length of the pendulum in cm.
Area of a quadrant of a circle of radius 7 cm is ______.
