Advertisements
Advertisements
प्रश्न
Find the area and perimeter of the following sector :
Radius= 6 cm, angle at the centre is 70°
उत्तर
Area of the sector = `pi "r"^2 xx theta/360^circ`
`= 22/7 xx 6 xx 6 xx 70^circ/360^circ`
= 22 cm2
Perimeter of the sector = `2"r" + (2 pi "r" xx theta/360^circ)`
`= 2 xx 6 + (2 xx 22/7 xx 6 xx 70^circ/360^circ)`
= 12 + 7.33
= 19.33 cm
Area of the sector = 22 cm2 and perimeter = 19. 33 cm
APPEARS IN
संबंधित प्रश्न
A horse is tied to a pole with 28m long string. Find the area where the horse can graze.
Below fig shows a sector of a circle, centre O. containing an angle 𝜃°. Prove that Perimeter of shaded region is 𝑟 (tan 𝜃 + sec 𝜃 +`(pitheta)/180`− 1)
Find the perimeter of a semicircular protractor whose diameter is 14 cm.
A square ABCD is inscribed in a circle of radius r. Find the area of the square.
The circumference of a circle is 39.6 cm. Find its area.
The wheels of a car make 2500 revolutions in covering a distance of 4.95 km. Find the diameter of a wheel.
Three equal circles, each of radius 6 cm, touch one another as shown in the figure. Find the area of enclosed between them.
The area of the circle is given below; find the diameter.
176 sq cm
Find the area enclosed between two concentric cirdes of radii 6.3 cm and 8.4 cm. A third concentric circle is drawn outside the 8.4 cm circle, so that the area enclosed between it and 8.4 cm cirde is the same as that between two inner circles. Find the radii of the third circle correct to two decimal places .
Find the area and perimeter of the following sector :
Radius= 4.2 cm, angle at the centre is 60 °
Find the area of a circular field that has a circumference of 396 m.
A cylindrical bucket, whose base radius is 20 cm, is filled with water to a height of 25 cm. A heavy iron spherical ball of radius 10 cm is dropped to submerge completely in water in the bucket. Find the increase in the level of water.
There are two circular gardens A and B. The circumference of garden A is 1.760 km and the area of garden B is 25 times the area of garden A. Find the circumference of garden B.
Find the dimensions of a rectangular park whose perimeter is 60 m and area 200 m2.
In the adjoining figure, the radius is 3.5 cm. Find:
(i) The area of the quarter of the circle correct to one decimal place.
(ii) The perimeter of the quarter of the circle correct to one decimal place. ( Take π = `22/7`)
Find the area and perimeter of the circles with following: Radius = 10.5cm
The circumference of a circle exceeds its diameter by 450 cm. Find the area of the circle.
The circumference of a circle whose area is 81 πr2, is ______.
The circumferences of two circles are in the ratio 4 : 5. What is the ratio of their radii?
