Advertisements
Advertisements
प्रश्न
Find the area and perimeter of the following sector :
Radius= 4.2 cm, angle at the centre is 60 °
उत्तर
Area of the sector = `(pi "r"^2 xx theta/360^circ)`
`= 22/7 xx 4.2 xx 4.2 xx 60^circ/360^circ`
= 9.24 cm2
Peri meter of the sector
= 2r + `(2 pi "r" xx theta/360^circ)`
`=2 xx 4.2 + (2 xx 22/7 xx 4.2 xx 60^circ/360^circ)`
= 8.4 + 4.4
= 12.8 cm
Area of the sector = 9.24 cm2 and perimeter = 12.8 cm
APPEARS IN
संबंधित प्रश्न
In Fig. 6, find the area of the shaded region, enclosed between two concentric circles of radii 7 cm and 14 cm where ∠AOC = 40°. (use `pi = 22/7`)
In Figure, find the area of the shaded region [Use π = 3.14]
The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is traveling at a speed of 66 km per hour? [Use Π = 22/7]
The minute hand of clock is10cm long. Find the area of the face of the clock described by the minute hand between 8am and 8:25 am
In circle of radius 6cm, chord of length 10 cm makes an angle of 110° at the centre of circle find The area of sector
The areas of two circles are in the ratio 4: 9. What is the ratio between their circumferences?
In the given figure, find the area of the shaded region, if ABCD is a square of side 14 cm and APD and BPC are semicircles.
The radius of a circular garden is 100 m. There is a road 10 m wide, running all around it. Find the area of the road and the cost of levelling it at Rs 20 per m2. [Use π = 3.14]
If the sum of the circumferences of two circles with radii R1 and R2 is equal to the circumference of a circle of radius R, then ______.
The diameter of a cycle wheel is `4 5/11` cm. How many revolution will it make in moving 6.3 km ?
A conical tent requires 264 m2 of canvas. If the slant height is 12 m, find the vertical height of the cone.
A wire is in the form of a circle of radius 42 cm. It is bent into a square.
Determine the side of the square and compare the area of the regions enclosed in two cases.
The diameter of a right circular cylinder is 12 m and the slant height is 10 m. Find its curved surface area and the total surface area .
Each wheel of a car is of diameter 80 cm. How many completer revolutions does each wheel make in 10 minutes when the car is traveling at a speed of 66 km per hour?
The perimeter of a square and the circumference of a circle are equal. If the length of each side of the square is 22 cm, find:
(i) perimeter of the square.
(ii) circumference of the circle.
(iii) radius of the circle.
A wire when bent in the form of a square encloses an area of 484cm2. If the same wire is bent into the form of a circle, find the area of the circle.
Diameters of different circles are given below. Find their circumference (Take π = `22/7`)
d = 70 cm
The circumference of a circle whose area is 81 πr2, is ______.
A circle with radius 16 cm is cut into four equal parts and rearranged to form another shape as shown in the below figure:
Does the perimeter change? If it does change, by how much does it increase or decrease?
A photograph of Billiard/Snooker table has dimensions as `1/10`th of its actual size as shown in the given figure:
The portion excluding six holes each of diameter 0.5 cm needs to be polished at rate of ₹ 200 per m2. Find the cost of polishing.