Advertisements
Advertisements
प्रश्न
The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.
The minute hand of a clock is 14 cm long; Find the area on the face of the clock described by the minute hand in 5 minutes.
उत्तर
Angle make by the minute hand in 1 minute = 6∘
Angle make by the minute hand in 5 minute = 5 ⨯ 6∘ = 30∘
The area of the sector having a central angle is given by
= `(30°)/(360°) xx pi xx (14)^2`
`=1/12 xx22/7 xx (14)^2`
`=51.33 cm^2`
Hence, the area swept by minute hand in 5 minutes is 51.33 cm2
संबंधित प्रश्न
The area of rectangle is `192cm^2` and its perimeter is 56 cm. Find the dimensions of the rectangle.
In the following figure, OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the (i) quadrant OACB (ii) shaded region.
A circle is inscribed in an equilateral triangle ABC is side 12 cm, touching its sides (the following figure). Find the radius of the inscribed circle and the area of the shaded part.
In a circle of radius 10 cm, an arc subtends an angle of 108° at the centre. what is the area of the sector in terms of π?
Write the formula for the area of a sector of angle \[\theta\] (in degrees) of a circle of radius r.
Write the formula for the area of a segment in a circle of radius r given that the sector angle is \[\theta\] (in degrees).
If AB is a chord of length \[5\sqrt{3}\] cm of a circle with centre O and radius 5 cm, then area of sector OAB is
If diameter of a circle is increased by 40%, then its area increase by
The sum of diameters of two circles is 112cm and the sum of their areas is 5236cm2. Find the radii of the two circles.
Is the area of the circle inscribed in a square of side a cm, πa2 cm2? Give reasons for your answer.
