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. (\[\pi = \frac{22}{7}\])
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
Three semicircles each of diameter 3 cm, a circle of diameter 4.5 cm and a semicircle of radius 4.5 cm are drawn in the given figure. Find the area of the shaded region
A playground has the shape of rectangle, with two semicircles on its smaller sides as diameters, added to its outside. If the sides of rectangle are 36m and 24.5m. find the area of playground.
Find the area of the rhombus, the length of whose diagonals are 30 cm and 16 cm. Also, find the perimeter of the rhombus.
What is the perimeter of a square which circumscribes a circle of radius a cm?
The circumferences of two circles are in the ratio 2: 3. What is the ratio between their areas?
In the given figure, ABCD is a square of side 4 cm. A quadrant of a circle of radius 1 cm is drawn at each vertex of the square and a circle of diameter 2 cm is also drawn. Find the area of the shaded region. [π = 3.14]
A wire when bent in the form of an equilateral triangle encloses an area of `121sqrt(3) "cm"^2`. The same wire is bent to form a circle. Find the area enclosed by the circle.
The area of the circle is given below; find the diameter.
176 sq cm
A conical tent requires 264 m2 of canvas. If the slant height is 12 m, find the vertical height of the cone.
A 7 m road surrounds a circular garden whose area is 5544 m2. Find the area of the road and the cost of tarring it at the rate of Rs.150 per sq m.
Find the area and perimeter of the following sector :
Diameter = 42 cm, angle at the centre is 100·.
Find the diameter of the sphere for the following :
Surface Area = 221. 76 cm2
The cost of fencing a circular field at the rate of ₹ 240 per meter is ₹ 52,800. The field is to be ploughed at the rate of ₹ 12.50 per m2. Find the cost of pouching the field.
An express train is running between two stations with a uniform speed. If the diameter of each wheel of the train is 42 cm and each wheel makes 1200 revolutions per minute, find the speed of the train.
The diameter of a circular field is 56 m. Find its circumference and cost of fencing it at the rate of ₹80 per m. (Take π =`22/7`)
Construct an angle PQR = 45°. Mark a point S on QR such that QS = 4.5 cm. Construct a circle to touch PQ at Q and also to pass through S.
Length of tape required to cover the edges of a semicircular disc of radius 10 cm is ______.
Value of π is ______ approximately.
Ratio of circumference of a circle to its radius is always 2π:I.
A circular pond is surrounded by a 2 m wide circular path. If outer circumference of circular path is 44 m, find the inner circumference of the circular path. Also find area of the path.
