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):
Which of the following is a two Dimensional figure?
In a three-dimensional shape, diagonal is a line segment that joins two vertices that do not lie on the ______ face.
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.
Find the area of the shaded portion in the following figure.
Find the area of the shaded portion in the following figure.
A solid with no vertex is ______.
A sphere has ______ vertex, ______ edge and ______ curved surface.
The circle, the square, the rectangle and the triangle are examples of plane figures.
The solid shapes are of two-dimensional.
Draw a net of the solid given in the figure:
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.
