Advertisements
Advertisements
प्रश्न
Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60° [Use `pi = 22/7`]
उत्तर
Let OACB be a sector of the circle making 60° angle at centre O of the circle.
Area of sector of angle θ = `theta/360^@xxpir^2`
Area of sector OACB = `60^@/360^@xx22/7xx(6)^2`
`=1/6xx22/7xx6xx6= 132/7 cm^2`
Therefore, the area of the sector of the circle making 60° at the centre of the circle is 132/7 cm2
APPEARS IN
संबंधित प्रश्न
Find the area of a quadrant of a circle whose circumference is 22 cm. [Use `pi = 22/7`]
Area of a sector of angle p (in degrees) of a circle with radius R is ______.
A sector of a circle of radius 8cm contains the angle of 135°. Find the area of sector.
The perimeter of certain sector of circle of radius 5.6 m is 27.2 m. Find the area of sector.
A sector of 56° cut out from a circle contains area of 4.4 cm2. Find the radius of the circle
A chord AB of circle, of radius 14cm makes an angle of 60° at the centre. Find the area of minor segment of circle.
In the given figure, PA and PB are tangents to a circle from an external point P such that PA = 4 cm and ∠BAC = 135°. Find the length of chord AB ?

(2) Area of any one of the sectors
A cow is tied with a rope of length 14 m at the corner of a rectangular field of dimensions 20 m × 16 m. Find the area of the field in which the cow can graze.
In the given figure, APB and CQD are semicircles of diameter 7 cm each, while ARC an BSD are semicircles of diameter 14 cm each. Find the
- perimeter
- area of the shaded region.
Prove that the circle drawn with any side of a rhombus as a diameter, passes through the point of intersection of its diagonals.
Find the area of the sector whose arc length and radius are 8 cm and 3 cm respectively.
Find the area of the sector of a circle of radius 8 cm and arc with length 15 cm.
A horse is tied to a peg at one corner of a square-shaped grass field of side 15 m by means of a 7 m long rope. The area of that part of the field in which the horse can graze is ____________.
Find the area of the shaded region where ABC is a quadrant of radius 5cm and a semicircle is drawn with BC as diameter.
The number of revolutions made by a circular wheel of radius 0.7m in rolling a distance of 176m is ______.
Find the area of a sector of a circle of radius 28 cm and central angle 45°.
The number of revolutions made by a circular wheel of radius 0.25 m in rolling a distance of 11 km is ______.
What is the length of arc of a circle of radius 7 cm which subtends an angle of 90° at the centre of the circle?