Question

Please answer this question fully explained please

Answer 1

Answer:

Let A1 and A2 be the areas of sectors O−AB and O−CD respectively. then,

A1 =Area of a sector of angle 30° in a circle of radius 7cm

⇒A1 = 360

30 × 7

22 ×7

2

[Using :A=

360

θ

×πr

2

]

⇒A

1

=

6

77

cm

2

A

2

=Area of a sector of angle 30

o

in a circle of radius 3.5cm

⇒A

2

=

360

30

×

7

22

×(3.5)

2

⇒A

2

=

12

1

×

7

22

×

2

7

×

2

7

=

24

77

cm

2

∴ Area of the shaded region =A

1

−A

2

=(

6

77

−

24

77

)cm

2

=

24

7

×(4−1)cm

2

=

8

77

cm

2

=9.625cm

2

.

Step-by-step explanation:

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