Question

hand in 5 minutes.
4. A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of
the corresponding: (i) minor segment (ii) major sector. (Use 11 = 3.14)
5. In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find:
(i) the length of the arc (ii) area of the sector formed by the are
(iii) area of the segment formed by the corresponding chord
A chord of a circle of radius 15cm suhtends an angle of 60° at the centre. Find the areas​

Answer 1

Answer:

In the mentioned circle,

O is the centre and AO =BO = Radius = 10 cm

AB is a chord which subtents 90

o

at centre O, i.e., ∠AOB=90

o

(i)

Area of minor segment APB (Shaded region) = Area of Sector AOB - Area of △AOB

=(

4

π×10×10

)−(0.5×10×10)

=78.5−50

=28.5cm

2

(ii)

Area of Major sector = Area of circle - Area of Sector AOB

= (π×10×10)−(

4

π×10×10

)

=314−78.5

=235.5cm

2