Advertisements
Advertisements
प्रश्न
Find the area of a sector of a circle having radius 6 cm and length of the arc 15 cm.
उत्तर
Radius (r) =6 cm
lenght of arc (l) = 15 cm
Area of sector = `"radius" /2 xx `length of arc
`= 6/2 xx 15 = 45 `
∴ Area of the sector is 45 cm2.
APPEARS IN
संबंधित प्रश्न
Find the area of the sector whose arc length and radius are 14 cm and 6 cm respectively.
In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find:
(i) The length of the arc
(ii) Area of the sector formed by the arc
(iii) Area of the segment forced by the corresponding chord
[use Π = 22/7]
A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 5 m long rope (see the given figure). Find
- The area of that part of the field in which the horse can graze.
- The increase in the grazing area of the rope were 10 m long instead of 5 m. [Use π = 3.14]
A car has two wipers which do not overlap. Each wiper has blade of length 25 cm sweeping through an angle of 115°. Find the total area cleaned at each sweep of the blades [Use π = `22/7`]
ABC is a triangle with AB = 10 cm, BC = 8 cm and AC = 6 cm (not drawn to scale). Three circles are drawn touching each other with the vertices as their centres. Find the radii of the three circles.
The diagram shows a sector of circle of radius ‘r’ can containing an angle 𝜃. The area of sector is A cm2 and perimeter of sector is 50 cm. Prove that
(i) 𝜃 =`360/pi(25/r− 1)`
(ii) A = 25r – r2
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 ?
In the given figure, A is the center of the circle. ∠ABC = 45° and AC = 7√2 cm. Find the area of segment BXC.
A chord PQ of a circle with a radius of cm subtends an angle of 60° with the center of the circle. Find the area of the minor as well as the major segment. ( \[\pi\] = 3.14, \[\sqrt{3}\] = 1.73)
Choose the correct alternative answer for the following question.
Find the perimeter of a sector of a circle if its measure is 90° and radius is 7 cm.
Area of a sector of central angle 200° of a circle is 770 cm2. Find the length of the corresponding arc of this sector.
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.
The area of the sector of a circle of radius 10.5 cm is 69.3 cm2. Find the central angle of the sector.
A chord 10 cm long is drawn in a circle whose radius is `5sqrt(2)` cm. Find the areas of both the segments.
A chord of length 6 cm is at a distance of 7.2 cm from the centre of a circle. Another chord of the same circle is of length 14.4 cm. Find its distance from the centre.
Find the area of a sector of a circle of radius 28 cm and central angle 45°.
Find the area of the minor segment of a circle of radius 14 cm, when the angle of the corresponding sector is 60°.
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?
