Advertisements
Advertisements
प्रश्न
Find the area of the shaded portion in each of the following diagrams:
(i)
(ii)
Advertisements
उत्तर
(i)
Radius of circle, r = 7 cm
∴ Side of square = 7 + 7 = 14 cm
Area of circle = `pir^2`
= `22/7 xx 7xx 7`
= 154 cm2
Area of square = `14 xx 14`
= 196 cm2
∴ Area of shaded portion = 196 - 154
= 42 cm2
(ii)
Radii of concentric circles are
`r_1 = 4.5`m
`r_2 = 2.5`m
∴ Area of shaded portion = `pir_1^2 - pir_2^2`
= `pi[r_1^2 - r_2^2] = 22/7[(4.5)^2 - (2.5)^2]`
= `22/7 xx (4.5 + 2.5) (4.5 - 2.5)`
= `22/7 xx 14 = 44` cm2
APPEARS IN
संबंधित प्रश्न
In the following figure, OABC is a square of side 7 cm. If OAPC is a quadrant of a circle with centre O, then find the area of the shaded region. (Use π = 22/7)
Find the area of the shaded region in the following figure, if AC = 24 cm, BC = 10 cm and O is the centre of the circle. (Use π = 3.14)
How many revolutions a circular wheel of radius r metres makes in covering a distance of s metres?
The area of the circle that can be inscribed in a square of side 10 cm is
If the difference between the circumference and radius of a circle is 37 cm, then its area is
A pendulum swings through an angle of 30° and describes an arc 8.8 cm in length. Find the length of the pendulum.
The diameter of the wheels of a bus is 140 cm. How many revolutions per minute do the wheels make when the bus is moving at a speed of 72.6 km per hour?
The areas of two concentric circles are 1386 cm2 and 962.5 cm2. The width of the ring is ______.
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.
The area of the circle that can be inscribed in a square of side 6 cm is ______.
