Advertisements
Advertisements
प्रश्न
The radius of a sector of a circle is 7 cm. If the measure of the arc of the sector is 210°, find the area of the sector in case.
Advertisements
उत्तर
The radius of the sector of the circle, r = 7 cm
Measure of arc (θ) = 210°
∴ Area of the sector = `"θ"/360 × πr^2`
`= 210/360 × 22/7 × (7)^2`
`= 7/12 × 22 × 7`
`= 7/6 × 11 × 7`
= 89.83 cm2
APPEARS IN
संबंधित प्रश्न
The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles.
In the given figure, the side of square is 28 cm and radius of each circle is half of the length of the side of the square where O and O' are centres of the circles. Find the area of shaded region.

The area of circle, inscribed in equilateral triangle is 154 cms2. Find the perimeter of
triangle.

In the given figure, if A(P-ABC) = 154 cm2 radius of the circle is 14 cm, find
(1) `∠APC`
(2) l ( arc ABC) .

Find the area of the sector of a circle having radius 6 cm and of angle 30°. [Take π = 3.14.]
Find the area of a quadrant of a circle whose circumference is 88 cm.
Three equal circles, each of radius 6 cm, touch one another as shown in the figure. Find the area of enclosed between them. [Take π = 3.14 and `sqrt(3) = 1.73`.]

If the sum of the circumferences of two circles with radii R1 and R2 is equal to the circumference of a circle of radius R, then ______.
A solid sphere metal is cut through its centre into 2 equal parts. If the diameter of the sphere is 3`1/3` cm , find the total surface of each part, correct to two decimal places.
Find the diameter of the sphere for the following :
Surface Area = 221. 76 cm2
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.
In Figure 2, two concentric circles with centre O, have radii 21 cm and 42 cm. If ∠AOB = 60°, find the area of the shaded region.

The circumference of a circle exceeds its diameter by 18 cm. find the radius of the circle.
Using a ruler and compasses only:
(i) Construct a triangle ABC with the following data: AB = 3.5 cm, BC = 6 cm and ∠ ABC = 120°.
(ii) In the same diagram, draw a circle with BC as diameter. Find a point P on the circumference of the circle which is equidistant from AB and BC.
(iii) Measure ∠ BCP.
Find the area of a circular field that has a circumference of 396m.
A wire bent in the form of an equilateral triangle has an area of `121sqrt(3)"cm"^2`. If the same wire is bent into the form of a circle, find the area enclosed by the wire.
A wire in the form of a circle of radius 42cm. It is bent into a square. Determine the side of the square and compare the area of the regions enclosed in the two cases.
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 ____________.
A photograph of Billiard/Snooker table has dimensions as `1/10`th of its actual size as shown in the following figure:

The portion excluding six holes each of diameter 0.5 cm needs to be polished at rate of ₹ 200 per m2. Find the cost of polishing.
