Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
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
.
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.
