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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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