Question

Draw a circle of radius 5 cm. In the circle, draw a chord AB = 6 cm, then shade the minor and major
segments
AB= 5 cm, B = 60° and BC = 7 cm.​

Answer 1

Answer:

AC is the diameter of a circle with radius 5cm

AB=BC,CD=8cm,AC=10cm

Area of the circle =π(5)

2

=25π

Now, △ABC is a right angled triangle.

∴AC

2

=AB

2

+AC

2

....Pythagoras theorem

=>100=2AB

2

=>AB

2

=50

=>AB=

50

=>AB=5

2

∴AB=AC=5

2

Area of △ABC=

2

1

×AB×BC =

2

1

×5×

2

×5×

2

=25

Similarly,

△ADC is a right angled triangle.

∴AC

2

=AD

2

+DC

2

=>10

2

=AD

2

+8

2

=>100=AD

2

+64

=>AD

2

=36

=>AD=6

Area of △ADC=

2

1

×AD×DC=

2

1

×6×8=24cm

2

Area of shaded region =25π−25−24=25π−49=29.5cm

2

=30cm

2