Advertisements
Advertisements
प्रश्न
Advertisements
उत्तर
Radius of the circle, r = 7 cm
m(arc MBN) = ∠MON = θ = 60º
Area of Sector `= theta/360^\circ xx pir^2`
`60/360 xx pixx7^2`
`1/6 xx pixx49`
`=(49pi)/6 cm^2`
`(49xx22)/(6xx7)`
`1078/42`
≈ 25.67 cm2
Since angle ∠MON = 60∘ and OM = ON = radius = 7 cm
`Area = 1/2 r^2 sin(theta)`
`1/2 xx 7xx7xxsin(60^\circ)`
`=49/2xxsqrt3/2`
`=(49sqrt3)/4`
`= (49xx1.732)/4`
`=84.868/4`
≈ 21.22 cm2
= Area of Sector OMN − Area of Triangle OMN
= 25.67 − 21.22
= 4.45 cm2
APPEARS IN
संबंधित प्रश्न
In Fig. 7, are shown two arcs PAQ and PBQ. Arc PAQ is a part of circle with centre O and radius OP while arc PBQ is a semi-circle drawn on PQ ad diameter with centre M. If OP = PQ = 10 cm show that area of shaded region is `25(sqrt3-pi/6)cm^2`.
Find the circumference of the circle with the following radius: (Take `bb(pi = 22/7`)
28 mm
Find the area of circle whose circumference is 44 cm.
The perimeter of a rhombus is 60 cm. If one of its diagonal us 18 cm long, find
(i) the length of the other diagonal, and
(ii) the area of the rhombus.
The radius of a sector of a circle is 7 cm. If the measure of the arc of the sector is - three right angles; find the area of the sector in case.
Two circular pieces of equal radii and maximum area, touching each other are cut out from a rectangular cardboard of dimensions 14 cm ⨯ 7 cm. Find the area of the remaining cardboard.
Three equal circles, each of radius 6 cm, touch one another as shown in the figure. Find the area of enclosed between them.
The circumferences of two circles are in the ratio 3 : 4. The ratio of their areas is ______.
A chord of a circle of radius 30 cm makes an angle of 60° at the centre of the circle. Find the area of the minor and major segments.
Find the area enclosed between two concentric circles, if their radii are 6 cm and 13 cm respectively.
The circumference of a circle is equal to the perimeter of a square. The area of the square is 484 sq. m. Find the area of the circle.
A conical tent with a capacity of 600 m3 stands on a circular base of area 160 m2 Find in m2 the area of the canvas.
The radii of two circles are 25 cm and 18 cm. Find the radius of the circle which has a circumference equal to the sum of circumferences of these two circles.
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 is eigth time the circumference of the circle with a radius of 12 cm. Find its diameter.
The diameter of a circle is 5.6 cm. Find its circumference.
The circumference o a garden roller is 280cm. How many revolutions does it make in moving 490m?
The numerical value of the area of a circle is greater than the numerical value of its circumference. Is this statement true? Why?
The distance around a circle is its ______.
