Advertisements
Advertisements
Question
The minute hand of a clock is 8 cm long. Find the area swept by the minute hand between 8.30 a.m. and 9.05 a.m.
Advertisements
Solution
The time interval is 9.05 - 8.30 = 35 minutes
Area covered in one 60 minutes = π x r2 = `22/7xx8^2` = 201 cm2
Hence area swept in 35 minutes is given by
A = `201/60 xx 35 = 117 1/3`cm2.
APPEARS IN
RELATED QUESTIONS
A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of side 6 cm. What is the area of the left over aluminium sheet? (Take π = 3.14)
In the the following figure, PSR, RTQ and PAQ are three semicircles of diameter 10 cm, 3 cm and 7 cm respectively. Find the perimeter of shaded region.

In the following figure, shows a kite in which BCD is the shape of a quadrant of a circle of radius 42 cm. ABCD is a square and Δ CEF is an isosceles right angled triangle whose equal sides are 6 cm long. Find the area of the shaded region.

In a hospital used water is collected in a cylindrical tank of diameter 2 m and height 5 m. After recycling, this water is used to irrigate a park of hospital whose length is 25 m and breadth is 20 m. If tank is filled completely then what will be the height of standing water used for irrigating the park.
If a chord of a circle of radius 28 cm makes an angle of 90 ° at the centre, then the area of the major segment is
On decreasing the radius of a circle by 30%, its area is decreased by
If the sum of the areas of two circles with radii R1 and R2 is equal to the area of a circle of radius R, then ______.
A piece of wire of length 108 cm is bent to form a semicircular arc bounded by its diameter. Find its radius and area enclosed.
The area (in cm2) of the circle that can be inscribed in a square of side 8 cm is ____________.
If radius of a circle is increased to twice its original length, how much will the area of the circle increase?
