Advertisements
Advertisements
Question
Find the area of the shaded portion in the following figure.
Advertisements
Solution
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
RELATED QUESTIONS
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.
A pentagonal prism has ______ faces.
Use isometric dot paper to draw figure.
A tetrahedron
Find the area of the shaded portion in the following figure.
Find the area of the shaded portion in the following figure.
Find the volume of the given figure if volume = base area × height.
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 solid with no vertex is ______.
Two dimensional figures are also called plane figures.
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.
