A square is inscr
Given: radius of the quadrant = 28cm
This will be the diagonal of the square.
Let the side of the square = acm
By Pythagoras theorem,
a2 + a2 = 282
2a2 = 784
a2 = 392cm2
We know that, Area of square = (side)2 = a2
Therefore, Area of square = 392cm2
Now, Area of a quadrant of a circle = 1/4πr2
Putting r = 28cm, we get
Area of a quadrant of a circle ![]()
Area of a quadrant of a circle = (22 × 28) cm2
Area of a quadrant of a circle = 616cm2
Area of shaded region = Area of a quadrant of the circle – Area of square
Area of shaded region = (616 – 392) cm2
Hence, the area of the shaded region is 224 cm2
OR
Given: Length of the minute hand = 10cm
First, we need to calculate the angle swept by the minute hand from 6:10 to 7:05
In 60 minutes, minute hand sweep 360˚.
Therefore, in 1 minute it will sweep ![]()
Difference in minutes from 6:10 to 7:05 = 55 minutes
The angle swept by the minute hand = 55 × 6˚
Therefore, the angle swept by minute hand = 330˚
We know that area of sector ![]()
Here, θ = 330˚ and r = 10cm
Therefore,
Area swept by minute hand ![]()
Area swept by minute hand ![]()
Area swept by minute hand = 288.1 cm2
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