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Byju's Answer
Standard VII
Mathematics
Major Arc, Minor Arc and Semicircular Arc
If the length...
Question
If the length of a circular arc is 10
c
m
and radius is
3.5
c
m
,
Find the area of minor sector and find the area of a major sector of the circle.
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Solution
Radius of circle
3.5
c
m
Length of circular is given by
x
360
×
2
π
r
=
10
x
360
×
2
×
22
7
×
3.5
=
10
x
360
=
10
22
⋯
1
Area of the sector is given by
x
360
×
π
r
2
10
22
×
22
7
×
3.5
×
3.5
5
×
3.5
17.5
c
m
2
Area of circle is
π
r
2
=
22
7
×
3.5
×
3.5
38.5
c
m
2
Area of major sector is
38.5
−
17.5
c
m
2
=
21
c
m
2
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