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
A suitcase with measures 80 cm × 48 cm × 24 cm is to be covered with a tarpaulin cloth. How many metres of tarpaulin of width 96 cm is required to cover 100 such suitcases?
Match the nets with appropriate solids:
| (a) |  |
(i) |  |
| (b) |  |
(ii) |  |
| (c) |  |
(iii) |  |
| (d) |  |
(iv) |  |
Make 8 triangles using 6 matchsticks. Try!
Which of the following is a two Dimensional figure?
Which of the following is the top view of the given shape?
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 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 volume of the given figure if volume = base area × height.
Work out the surface area of following shape (use π = 3.14).
A solid with no vertex is ______.
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.
