Advertisements
Advertisements
प्रश्न
In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find the length of the arc. (Use π = `22/7`)
उत्तर
Radius of the circle (r) = 21 cm
Angle subtended by the given arc = 60°
Length of the arc of the sector having angle = `theta/(360^circ) xx 2pi"r"`
= `(60°)/(360°) xx 2pi(21)`
= `1/6 xx 2 xx 22/7 xx 21`
= `1/6 xx 2 xx 22 xx 3`
= 22 cm
APPEARS IN
संबंधित प्रश्न
In the following figure, ABCD is a rectangle, having AB = 20 cm and BC = 14 cm. Two sectors of 180° have been cut off. Calculate:
the length of the boundary of the shaded region.
In the following figure, ABCD is a trapezium of area 24.5 cm2 , If AD || BC, ∠DAB = 90°, AD = 10 cm, BC = 4 cm and ABE is quadrant of a circle, then find the area of the shaded region. [CBSE 2014]
If the adjoining figure is a sector of a circle of radius 10.5 cm, what is the perimeter of the sector? (Take \[\pi = 22/7\])
Find the area of the largest triangle that can be inscribed in a semi-circle of radius runits.
The area of the largest triangle that can be inscribed in a semi-circle of radius r, is
The area of the circle that can be inscribed in a square of side 10 cm is
The minute hand of a clock is 15 cm long. Calculate the area swept by it in 20 minutes.
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.
ABCD is a field in the shape of a trapezium, AD || BC, ∠ABC = 90° and ∠ADC = 60°. Four sectors are formed with centres A, B, C and D, as shown in the figure. The radius of each sector is 14 m. Find the following:
- total area of the four sectors,
- area of the remaining portion, given that AD = 55 m, BC = 45 m and AB = 30 m.
On a circular table cover of radius 42 cm, a design is formed by a girl leaving an equilateral triangle ABC in the middle, as shown in the figure. Find the covered area of the design. `["Use" sqrt(3) = 1.73, pi =22/7]`
The radius of a wheel is 0.25 m. How many revolutions will it make in covering 11 km?
The diameter of a wheel is 40 cm. How many revolutions will it make in covering 176 m?
The area of a sector of a circle with radius r, making an angle of x° at the centre is
Find the radius and circumference of a circle, whose area is :
(i) 154 cm2
(ii) 6.16 m2
Find the area of a flat circular ring formed by two concentric circles (circles with the same centre) whose radii are 9 cm and 5 cm.
A roller has a diameter of 1.4 m. Find :
(i) its circumference ;
(ii) the number of revolutions it makes while travelling 61.6 m.
A sprinkler placed at the centre of a flower garden sprays water covering a circular area. If the area watered is 1386 cm2, find its radius and diameter
In a grassland, a sheep is tethered by a rope of length 4.9 m. Find the maximum area that the sheep can graze
The area of the circle whose diameter is 21 cm is ____________.
A pendulum swings through an angle of 30∘ and describes an arc 8.8 cm in length. Find the length of the pendulum in cm.
