Question

A chord of a circle of radius 10 cm makes a right angle at the centre. Find the

areas of the minor and major segments of the circle. ( = 3.14)

45) Two dice are tossed together write all possible outcomes of this experiment.

Find the probability of getting

(i) 7 as the sum

(ii) a sum greater than 10.

(iii) a sum less than 13.​

Answer 1

Step-by-step explanation:

Area of minor segment (shaded region) = Area of the quadrant AOB− Area of the △AOB

=

4

1

×πr

2

−

2

1

×AO×OB

=

4

1

×3.14×(10 cm)

2

−

2

1

×10 cm×10 cm

=

4

1

×3.14×100 cm

2

−50 cm

2

=78.5 cm

2

−50 cm

2

=28.5 cm

2

(ii) Area of the major segment = Area of the circle − Area of the minor segment

=πr

2

−28.5 cm

2

=3.14×(10 cm)

2

−28.5 cm

2

=314 cm

2

−28.5 cm

2

=285.5 cm

2