In a circle of radius 6cm , chord PQ and PR are at a distance of 3cm and 3root 2cm respectively from the centre.Find the perimeter and the area of the sector bounded by the minor arc QR
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10th
Maths
Areas Related to Circles
Area of Sector and Length of an Arc
In a circle of radius 6 cm,...
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In a circle of radius 6 cm, a chord of length 10 cm makes an angle of 110
∘
at the centre of the circle. Find the length of the arc AB.
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ANSWER
⇒ r=6cm and θ=110
o
[ Given ]
⇒ Length of an arc =
360
o
θ
(2πr)
Where, θ is angle subtended at a center.
2πr is circumference of a circle.
⇒ Length of an arc AB=
360
o
110
o
×2×
7
22
×6
∴ Length of an arc AB=
21
242
=11.52cm
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