Advertisements
Advertisements
प्रश्न
In the given figure, O is the centre of the sector. \[\angle\]ROQ = \[\angle\]MON = 60° . OR = 7 cm, and OM = 21 cm. Find the lengths of arc RXQ and arc MYN. (\[\pi = \frac{22}{7}\])
Advertisements
उत्तर
Given: ∠ROQ = ∠MON = 60°,
radius (r) = OR = 7 cm, radius (R) = OM = 21 cm
To find: Lengths of arc RXQ and arc MYN.
i. Length of arc RXQ = `θ/360 xx 2π"r"`
`= 60/360 × 2 × 22/7 × 7`
`= 1/6 × 2 × 22`
= 7.33 cm
ii. Length of arc MYN = `θ/360 xx 2π"R"`
`= 60/360 × 2 × 22/7 × 21`
`= 1/6 × 2 × 22 × 3`
= 22 cm
∴ The lengths of arc RXQ and arc MYN are 7.33 cm and 22 cm respectively.
APPEARS IN
संबंधित प्रश्न
In the figure given below, PQRS is square lawn with side PQ = 42 metres. Two circular flower beds are there on the sides PS and QR with centre at O, the intersections of its
diagonals. Find the total area of the two flower beds (shaded parts).
Find the radius of a circle whose perimeter and area are numerically equal.
A copper wire when bent in the form of a square encloses an area of 484 cm2. The same wire is not bent in the form of a circle. Find the area enclosed by the circle.
A race track is in the form of a rig whose inner circumference is 352 m and outer circumference is 396 m. Find the width and the area of the track.
The perimeter of the quadrant of a circle is 25 cm. Find its area.
In making 1000 revolutions, a wheel covers 88 km. The diameter of the wheel is ______.
The perimeter of a sector of a circle of radius 5.6 cm is 27.2 cm. Find the area of the sector.
A chord of a circle of radius 30 cm makes an angle of 60° at the centre of the circle. Find the area of the minor and major segments. [Take π = 3.14 and `sqrt(3) = 1.732`.]
A conical tent with a capacity of 600 m3 stands on a circular base of area 160 m2 Find in m2 the area of the canvas.
A cart wheel makes 9 revolutions per second. If the diameter of the wheel is 42 cm, find its speed in km/hr.
The radius of a circular garden is 56 m. What would it cost to put a 4-round fence around this garden at a rate of 40 rupees per metre?
Find the area and perimeter of the following semicircles: Diameter = 5.6cm
The circumference o a garden roller is 280cm. How many revolutions does it make in moving 490m?
The radius of the wheel of a bus is 0.7 m. How many rotations will a wheel complete while traveling a distance of 22 km?
If the circumference of a circle is 82π, then the value of ‘r’ is
The area of a quadrant of a circle whose circumference is 22 cm, is ____________.
A circular pond is 17.5 m is of diameter. It is surrounded by a 2 m wide path. Find the cost of constructing the path at the rate of Rs 25 per m2.
The area of a semicircle of radius 4r is ______.
The moon is about 384000 km from earth and its path around the earth is nearly circular. Find the length of path described by moon in one complete revolution. (Take π = 3.14)
