Advertisements
Advertisements
प्रश्न
The given figures show a rectangle ABCD inscribed in a circle as shown alongside.
If AB = 28 cm and BC = 21 cm, find the area of the shaded portion of the given figure.
Advertisements
उत्तर
From the figure,
AB = 28 cm
BC = 21 cm
AC = `sqrt( "AB"^2 + "BC"^2 )`
= `sqrt( 28^2 + 21^2)`
= 35.
Hence diameter of the circle is 35 cm and hence
Area = π x `( 35/2 )^2` = 962.5 cm2
Area of the rectangle = 28 x 21 = 588 cm2
Hence area of the shaded portion is given by
A = 962 - 588 = 374.5 cm2
APPEARS IN
संबंधित प्रश्न
The cost of painting the four walls of a room 12 m long at `₹ 30 per m^2 is ₹ 7560 per m^2` and the cost of covering the floor with the mat at ₹` 25 per m^2 is ₹ 2700 `. find the dimensions of the room.
If the circumference and the area of a circle are numerically equal, then diameter of the circle is
The ratio of the outer and inner perimeters of a circular path is 23 : 22. If the path is 5 metres wide, the diameter of the inner circle is
In the given figure, a square OABC is inscribed in a quadrant OPBQ of a circle. If OA = 20 cm, find the area of the shaded region. [Use π = 3.14.]
In the given figure, ABCD is a rectangle inscribed in a circle having length 8 cm and breadth 6 cm. If π = 3.14, then the area of the shaded region is:
In the given figure, an equilateral triangle has been inscribed in a circle of radius 4 cm. Find the area of the shaded region.
Find the area of a ring-shaped region enclosed between two concentric circles of radii 20 cm and 15 cm.
The circumference of a circular table is 88 m. Find its area.
A wire, when bent in the form of a square; encloses an area of 196 cm2. If the same wire is bent to form a circle; find the area of the circle.
In figure, a square of diagonal 8 cm is inscribed in a circle. Find the area of the shaded region.
