? Area of the circular segment DAE =^231416 ( 12 )^2
360
30
360uπr u u
θ
sq. m. =37.7 sq.cm (approx)
The length of the rectangle ABCD is 12 m. and the breadth is 10 m.
? Area of the rectangle = length u breadth = 12 u 10 sq. m = 120 sq. m.
? Area of the whole region = (37.7 + 120) sq. m. = 157.7 square metre.
The required area is 157.7 square metre. (approx)
Activity : Determine the area of the dark marked region in the figure.Exercise 16.3- Angle subtended by a circular segment at the centre is 30o. If the diameter of the
circle is 126 cm., determine the length of the arc. - A horse turned around a circular field with a speed of 66 m per minute in
2
1
1
minute. Determine the diameter of the field.- Area of a circular segment is 77 sq. m. and the radius is 21 m. Determine the
angle subtended at the centre by the circular segment. - The radius of a circle is 14 cm. and an arc subtends an angle 76o at its centre.
Determine the area of the circular segment. - There is a road around a circular field. The outer circumference of the road is
greater than the inner circumference by 44 metres. Find the width of the road. - The diameter of a circular park is 26 m. There is a road of 2 m. width around the
park outside. Determine the area of the road. - The diameter of the front wheel of a car is 28 cm. and the back wheel is 35 cm.
To cover a distance of 88 m, how many times more the front wheel will revolve
than the back one? - The circumference of a circle is 220 m. Determine the length of the side of the
inscribed square in the circle. - The circumference of a circle is equal to the perimeter of an equilateral triangle.
Determine the ratio of their areas? - Determine the area of the dark marked region with the help of the information
given below :