Advertisements
Advertisements
प्रश्न
Find the area of a quadrant of a circle whose circumference is 22 cm. [Use `pi = 22/7`]
उत्तर
Let the radius of the circle be r.
Circumference = 22 cm
2πr = 22
`2 xx 22/7 xx r = 22`
`r = 22 xx7/22 xx 1/2 `
= `r = 7/2`
Here θ = 90°
∴ Area of the `(1/4)^(th)` quadrant of the circle = `theta/(360°) xx pir^2`
`= (90°)/(360°) xx 22/7 xx (7/2)^2`cm2
`= 1/4 xx 22/7 xx 7/2 xx 7/2` cm2
`= 77/8` cm2
APPEARS IN
संबंधित प्रश्न
A chord of a circle of radius 15 cm subtends an angle of 60° at the centre. Find the areas of the corresponding minor and major segments of the circle. [Use π = 3.14 and `sqrt3 = 1.73`]
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 sector of circle of radius 4cm contains an angle of 30°. Find the area of sector
The area of sector of circle of radius 5cm is 5𝜋 cm2. Find the angle contained by the sector.
The perimeter of certain sector of circle of radius 5.6 m is 27.2 m. Find the area of sector.
In the given figure, O is the centre of the circle. m ( arc PQR) = 60° OP = 10 cm. Find the area of the shaded region.( \[\pi\]= 3.14, \[\sqrt{3}\]= 1.73)
Area of a sector of central angle 200° of a circle is 770 cm2. Find the length of the corresponding arc of this sector.
The length of the minute hand of a clock is 5 cm. Find the area swept by the minute hand during the time period 6 : 05 am and 6 : 40 am.
In the given figure, three sectors of a circle of radius 7 cm, making angles of 60°, 80° and 40° at the centre are shaded. Find the area of the shaded region.
In the given figure, ABCD is a square of side 7 cm, DPBA and DQBC are quadrants of circles each of the radius 7 cm. Find the area of shaded region.
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 of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the minor segment. [Use π = 3.14.]
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.
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).
In figure, arcs have been drawn of radius 21 cm each with vertices A, B, C and D of quadrilateral ABCD as centres. Find the area of the shaded region.
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.
Four circular cardboard pieces of radii 7 cm are placed on a paper in such a way that each piece touches other two pieces. Find the area of the portion enclosed between these pieces.
In the given figure, arcs have been drawn of radius 7 cm each with vertices A, B, C and D of quadrilateral ABCD as centres. Find the area of the shaded region.
The area of the sector of a circle of radius 12 cm is 60π cm2. The central angle of this sector is ______.
