Answered

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A sector of 80° is removed from a circle of radius 20cm what area of the circle is left take pi to be 22/7

Sagot :

Answer: 977.77 cm2

Step-by-step explanation:

To determine the area remaining in a circle after removing a sector with an 80° angle from a circle with a radius of 20 cm, we follow these steps:

Total Area of the Circle:

Area

=

2

=

22

7

×

2

0

2

=

8800

7

≈

1257.14

 cm

2

Area=πr

2

=

7

22

​

×20

2

=

7

8800

​

≈1257.14 cm

2

Area of the Removed Sector:

Sector Area

=

360

×

2

=

80

360

×

22

7

×

400

=

17600

63

≈

279.37

 cm

2

Sector Area=

360

θ

​

×πr

2

=

360

80

​

×

7

22

​

×400=

63

17600

​

≈279.37 cm

2

Remaining Area:

Remaining Area

=

Total Area

−

Sector Area

=

1257.14

 cm

2

−

279.37

 cm

2

≈

977.77

 cm

2

Remaining Area=Total Area−Sector Area=1257.14 cm

2

−279.37 cm

2

≈977.77 cm

2

Final Result

The area of the circle that is left after removing the sector is approximately

977.77

 cm

2

977.77 cm

2

.

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