Advertisements
Advertisements
प्रश्न
From each corner of a square of side 4 cm a quadrant of a circle of radius 1 cm is cut and also a circle of diameter 2 cm is cut as shown in the given figure. Find the area of the remaining portion of the square [Use Π = 22/7]
उत्तर
Each quadrant is a sector of 90° in a circle of 1 cm radius.
Area of each quadrant = `90^@/360^@pir^2`
`= 1/4xx22/7xx(1)^2 = 22/28 cm^2`
Area of square = (Side)2 = (4)2 = 16 cm2
Area of circle = πr2 = π (1)2
`= 22/7 cm^2`
Area of the shaded region = Area of square − Area of circle − 4 × Area of quadrant
` = 16 -22/7 - 4 xx 22/28`
`= 16-22/7-22/7 = 16 - 44/7`
`= (112-44)/7 = 68/7 cm^2`
APPEARS IN
संबंधित प्रश्न
Find the area of the shaded region in the given figure, if PQ = 24 cm, PR = 7 cm and O is the centre of the circle. [Use Π = 22/7]
In a circular table cover of radius 32 cm, a design is formed leaving an equilateral triangle ABC in the middle as shown in the given figure. Find the area of the design (Shaded region). [Use Π = 22/7]
A park is in the form of rectangle 120m × 100m. At the centre of park there is a circular lawn. The area of park excluding lawn is 8700m2. Find the radius of circular lawn.
Find the area of triangle whose base measures 24 cm and the corresponding height measure 14.5 cm.
The length of the two sides of a right triangle containing the right angle differ by 2 cm. If the area of the triangle is 24xm^2, find the perimeter of the triangle.
Find the area of shaded region in Fig. 4, where a circle of radius 6 cm has been drawn with vertex O of an equilateral triangle OAB of side 12 cm. (Use π = 3.14 and\[\sqrt{3}\] =1.73)
In Fig.5, AB and CD are two diameters of a circle with centre O, which are perpendicular to each other. OB is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region. `[\text{Use}pi=22/7]`
Find the perimeter of the shaded region in Figure 4, if ABCD is a square of side 14 cm and APB and CPD are semicircles. Use `pi = 22/7`
Find the area of triangle formed by joining the mid-points of the sides of the triangle whose vertices are A(2, 1), B(4, 3) and C(2, 5).
In the given figure, AB and CD are diameters of a circle with centre O perpendicular to each other. If OA = 7 cm, find the area of shaded region.
