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7th
Maths
Perimeter and Area
Perimeter and Area of a Circle
If hour hand of a clock is ...
MATHS
If hour hand of a clock is 5 cm long. Find the area of the sector formed by this hand in 7 minutes.
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ANSWER
Radius of the circle of which sector is part, r=5 cm
Central angle made by the hand in 60 minutes =360
∘
Central angle made by the hand in 1 minute =
60
360
=6
∘
Central angle made by the hand in 7 minute, θ=6×7=42
∘
Area of the sector, =
360
πr
2
θ
=
360
π×25×42
=
7×360
22×25×42
=
6
55
cm
2
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