Advertisements
Advertisements
प्रश्न
The area of the sector of a circle of radius 10.5 cm is 69.3 cm2. Find the central angle of the sector.
उत्तर
Given:
Area of the sector = 63 cm2
Radius = 10.5 cm
Now,
Area of the sector`=(pi"r"^2theta)/360`
`=> 69.3 = 22/7xx10.5xx10.5xxtheta/360`
`=> theta = (69.3xx7xx360)/(22xx10.5xx10.5)`
⇒ θ = 72°
∴ Central angle of the sector = 72°
APPEARS IN
संबंधित प्रश्न
In the following figure, if m(are DXE) = 90° and m(are AYC) = 30°. Find ∠DBE.
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]
To warn ships for underwater rocks, a lighthouse spreads a red coloured light over a sector of angle 80° to a distance of 16.5 km. Find the area of the sea over which the ships warned. [Use π = 3.14]
Area of a sector of angle p (in degrees) of a circle with radius R is ______.
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
A chord of circle of radius 14cm makes a right angle at the centre. Find the areas of minor and major segments of the circle.
The diameter of a sphere is 6 cm, Find the total surface area of the sphere. (π = 3.14)
A car has two wipers that do not overlap. Each wiper has a blade of length 21 cm sweeping through an angle of 120°. Find the total area cleaned at each sweep of the blades. `("Take" π =22/7)`
In figure, arcs are drawn by taking vertices A, B and C of an equilateral triangle of side 10 cm. to intersect the sides BC, CA and AB at their respective mid-points D, E and F. Find the area of the shaded region (Use π = 3.14).
A piece of wire 20 cm long is bent into the form of an arc of a circle subtending an angle of 60° at its centre. Find the radius of the circle.
