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):
Identify the net which can be used to make cube (cut out copies of the net and try it):
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.
A pentagonal prism has ______ faces.
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 sphere has ______ vertex, ______ edge and ______ curved surface.
While sphere is a 2-D figure, circle is a 3-D figure.
Two dimensional figures are also called plane figures.
State whether the statement is True or False.
The circle, the square, the rectangle and the triangle are examples of plane figures.
State whether the statement is True or False.
The solid shapes are of two-dimensional.
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.
