Advertisements
Advertisements
प्रश्न
The radius of a sector of a circle is 7 cm. If the measure of the arc of the sector is - three right angles; find the area of the sector in case.
उत्तर
The radius of the sector of the circle, r = 7 cm
Measure of arc of the sector = θ = 3 × 90º = 270º
∴ Area of the sector = `"θ"/360` × πr2
∴ Area of the sector = `270/360 × 22/7 × (7)^2`
∴ Area of the sector = `3/4 × 22 × 7`
∴ Area of the sector = `3/2 × 11 × 7`
∴ Area of the sector = `231/2`
∴ Area of the sector = 115.5 cm2
APPEARS IN
संबंधित प्रश्न
In PSR, RTQ and PAQ are three semicircles of diameters 10 cm, 3 cm and 7 cm respectively. Find the perimeter of the shaded region. [Use π=3.14]
The length of minute hand of a clock is 14 cm. Find the area swept by the minute hand in one minute. (Use π = 22/7)
The circumference of two circles are in ratio 2:3. Find the ratio of their areas
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.
Find the area of a quadrant of a circle whose circumference is 88 cm.
In the given figure, OPQR is a rhombus, three of whose vertices lie on a circle with centre O. If the area of the rhombus is `32sqrt(3)`, find the radius of the circle.
Four equal circles are described about the four corners of a square so that each touches two of the others, as shown in the figure. Find the area of the shaded region, if each side of the square measures 14 cm.
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]
Find the area and perimeter of the circle with the following :
Radius= 2.8 cm
A wire when bent in the form of a square encloses an area of 484 cm2. If the same wire is bent into the form of a circle, find the area of the circle.
Find the area and perimeter of the following semicircles: Diameter = 5.6cm
The sum of the circumference and diameter of a circle is 176 cm. Find the area of the circle.
The speed of a car is 66km per hour. If each wheel of the car is 140cm in diameter, find the number if revolution made by each wheel per minute.
The area between the circumference of two concentric circles is 2464cm2. If the inner circle has a circumference of 132cm, calculate the radius of the outer circle.
The radius of a circular plot is 7.7 metres. How much will it cost to fence the plot with 3 rounds of wire at the rate of 50 rupees per metre?
The perimeter of circular and square fields is equal. If the area of the square field is 484 m2 then the diameter of the circular field is ____________.
The area of a circle whose circumference is 22 cm, is ____________.
The diameter of a wheel is 1.26 m. The distance traveled in 500 revolutions is ____________.
Area of circular garden with diameter 8 m 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)
