Advertisements
Advertisements
प्रश्न
Find the area of the shaded portion in the following figure.
Advertisements
उत्तर
Area of the given figure = Area of two semi-circles + Area of two triangles + Area of a square
∴ Area of triangle = `sqrt(s(s - a)(s - b)(s - c))` ...[∵ a = 5 cm, b = 5 cm and c = 6 cm, given]
Where, `s = (a + b + c)/2`
= `(5 + 5 + 6)/2`
= `16/2`
= 8 cm
∴ Area of a triangle = `sqrt(8(8 - 5)(8 - 5)(8 - 6))`
= `sqrt(8 xx 3 xx 3 xx 2)`
= `sqrt(144)`
= 12 cm2
∴ Area of 2 triangles = 2 × 12 = 24 cm2
∴ Area of 2 semi-circle = Area of 1 circle
Area of a circle = πr2
= `22/7 xx 3 xx 3`
= `(9 xx 22)/7`
= `198/7`
= 28.28 cm2
∴ Area of a square = 6 × 6 = 36 cm2
Area of the given figure = (24 + 28.28 + 36) = 88.28 cm2
APPEARS IN
संबंधित प्रश्न
Identify the net which can be used to make cube (cut out copies of the net and try it):
Identify the net which can be used to make cube (cut out copies of the net and try it):
Match the nets with appropriate solids:
| (a) |  |
(i) |  |
| (b) |  |
(ii) |  |
| (c) |  |
(iii) |  |
| (d) |  |
(iv) |  |
Ramya made four more shapes. Each is to be folded along the dotted lines. You have to find out which of these can be made into a box.
In a three-dimensional shape, diagonal is a line segment that joins two vertices that do not lie on the ______ face.
What figure is formed if only the height of a cube is increased or decreased?
Use isometric dot paper to draw figure.
A tetrahedron
Use isometric dot paper to draw figure.
A rectangular prism with length 4 units, width 2 units and height 2 units.
Find the area of the shaded portion in the following figure.
Work out the surface area of following shape (use π = 3.14).
Work out the surface area of following shape (use π = 3.14).
A sphere has ______ vertex, ______ edge and ______ curved surface.
The circle, the square, the rectangle and the triangle are examples of plane figures.
The circle, the square, the rectangle and the triangle are examples of plane figures.
The circle, the square, the rectangle and the triangle are examples of plane figures.
The circle, the square, the rectangle and the triangle are examples of plane figures.
The circle, the square, the rectangle and the triangle are examples of plane figures.
The circle, the square, the rectangle and the triangle are examples of plane figures.
The circle, the square, the rectangle and the triangle are examples of plane figures.
