Advertisements
Advertisements
Question
The minute hand of a clock is 12 cm long. Find the area of the face of the clock described by the minute hand in 35 minutes.
Solution
Angle described by the minute hand in 60 minutes
= 360°
Angle described by the minute hand in 35 minutes `= (360/60xx35)°`
= 210°
Now,
r = 12 cm and θ = 210°
∴ Required area described by the minute hand in 35 minutes = Area of the sector where
r = 12 cm and θ = 210°
`=(pi"r"^2theta)/360`
`=(22/7xx12xx12xx210/360) "cm"^2`
= 264 cm2
APPEARS IN
RELATED QUESTIONS
A rectangular plot measure 125 m by 78 m. It has gravel path 3 m wide all around on the outside. Find the area of the path and the cost of gravelling it at` ₹ 75 per m^2`
Find the length of the diagonal of a square whose area is `128 cm^2` Also, find its perimeter.
The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.
An arc subtends an angle of 90° at the centre of the circle of the radius 14 cm. Write the area of minor sector thus formed in terms of π.
If the radius of a circle is diminished by 10%, then its area is diminished by
The length of an arc of a circle, subtending an angle of 54° at the centre, is 16.5 cm. Calculate the radius, circumference and area of the circle.
A circular field of radius 105 m has a circular path of uniform width of 5 m along and inside its boundary. Find the area of the path.
Find the area of a circle of radius 30 cm (use π = 3.14).
The radii of the two circles are 4 cm and 3 cm respectively. The diameter of the circle having an area equal to the sum of the areas of the two circles (in cm) is ____________.
Area of the circle obtained in 196 m2 is ______.
