Advertisements
Advertisements
प्रश्न
Find the area of the sector whose arc length and radius are 14 cm and 6 cm respectively.
उत्तर
Length of arc, S = 14 cm
Radius of circle, r = 6 cm
`"S" = rθ ⇒ θ = "S"/r = 14/6`radians
`14/6"radians"=180/pixx14/6=(420/pi)@`
`"Area of the sector "=theta/360xxpir^2=420/(360xxpi)xxpir^2=7/6xx36=42"cm"^2`
APPEARS IN
संबंधित प्रश्न
In the following figure, if m(are DXE) = 90° and m(are AYC) = 30°. Find ∠DBE.
Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60° [Use `pi = 22/7`]
In the given figure, if O is the center of the circle, PQ is a chord. \[\angle\] POQ = 90°, area of the shaded region is 114 cm2, find the radius of the circle. \[\pi\] = 3.14)
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 radius of a circle is 17.5 cm. Find the area of the sector enclosed by two radii and an arc 44 cm in length.
Four cows are tethered at the four corners of a square field of side 50 m such that each can graze the maximum unshared area. What area will be left ungrazed?
In following fig., PT is a tangent to the circle at T and PAB is a secant to the same circle. If PA = 4cm and AB = Scm, find PT.
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 ____________.
The number of revolutions made by a circular wheel of radius 0.7m in rolling a distance of 176m is ______.
If the length of an arc of a circle of radius r is equal to that of an arc of a circle of radius 2r, then the angle of the corresponding sector of the first circle is double the angle of the corresponding sector of the other circle. Is this statement false? Why?
Find the area of the minor segment of a circle of radius 14 cm, when the angle of the corresponding sector is 60°.
Find the difference of the areas of two segments of a circle formed by a chord of length 5 cm subtending an angle of 90° at the centre.
Radius of a circle is 10 cm. Measure of an arc of the circle is 54°. Find the area of the sector associated with the arc. (π = 3.14)
Given: The radius of a circle (r) = `square`
Measure of an arc of the circle (θ) = `square`
Area of the sector = `θ/360^circ xx square`
= `square/360^circ xx square xx square xx square`
= `square xx square xx square`
= 47.10 cm2
Find the perimeter of a quadrant of a circle of radius 14 cm.
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.
Find the area of the unshaded region shown in the given figure.
