Advertisements
Advertisements
प्रश्न
A square is inscribed in a circle of radius 7 cm. Find the area of the square.
Advertisements
उत्तर
Since the diameter of the circle is the diagonal of the square inscribed in the circle.
Let a be the length of the sides of the square.
Hence,
`sqrt2a` = 2 x 7
a = `sqrt2` x 7
a2 = 98
Hence the area of the square is 98 sq.cm.
APPEARS IN
संबंधित प्रश्न
In the given figure, ABCD is rectangle of dimensions 21 cm × 14 cm. A semicircle is drawn with BC as diameter. Find the area and the perimeter of the shaded region in the figure.
A calf is tied with a rope of length 6 m at the corner of a square grassy lawn of side 20 m . If the length of the rope is increased by 5.5 m , find the increase in area of the grassy lawn in which the calf can graze .
From a thin metallic piece, in the shape of a trapezium ABCD, in which AB || CD and ∠BCD = 90°, a quarter circle BEFC is removed (in the following figure). Given AB = BC = 3.5 cm and DE = 2 cm, calculate the area of the remaining piece of the metal sheet.
The minute hand of a clock is 15 cm long. Calculate the area swept by it in 20 minutes.
Find the area of the major segment APB of a circle of radius 35 cm and ∠AOB = 90°, as shown in the given figure.
ABCD is a field in the shape of a trapezium, AD || BC, ∠ABC = 90° and ∠ADC = 60°. Four sectors are formed with centres A, B, C and D, as shown in the figure. The radius of each sector is 14 m. Find the following:
- total area of the four sectors,
- area of the remaining portion, given that AD = 55 m, BC = 45 m and AB = 30 m.
The wheel of a cart is making 5 revolutions per second. If the diameter of the wheel is 84 cm, find its speed in km per hour.
In the following figure, a rectangle ABCD enclosed three circles. If BC = 14 cm, find the area of the shaded portion (Take π = 22/7)
The area (in cm2) of the circle that can be inscribed in a square of side 8 cm is ____________.
Area of a quadrant of a circle of radius 7 cm is ______.
