pls answer very urgent question if u answer I will mark u as brilliant
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To Find :
- a) Length of arc
- b) perimeter of sector
Solution :
- ∅ = 120°
- Radius = 21cm
Changing degree into radian
= 120 × π/180
= 12 × π/18
= 2π/3 radian
we know that,
- ∅ = l/r
where,
- l = length of arc
- r = Radius
l = ∅r
l = 2π/3× 21
l = 2π × 7
l = 14π
l = 14 × 22/7
l = 2 × 22
l = 44
Hence,
- Length of arc is 44
Perimeter of sector = arc length + Radius + Radius
p = 44 + 21 + 21
p = 44 + 42
p = 86
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Cynefin:
Awesome。◕‿◕。
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Answer:
length of an arc is given by
L= theta*R
where L is length of arc, theta is central angle in radian, and R is radius.
given.
theta = 120° (though degree not mentioned, I am assuming it...fault of question though, might have been grades)
theta = 120*π/180 radian
= 2π/3 radian
R = 21 cm
L = 21*2π/3
L = 14 *π
L = 14*22/7
L = 44 cm
Perimeter of sector = L + 2R
= 44+2*21
= 44 + 42
= 86 cm
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