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 figure, ΔABC is an isosceles triangle with perimeter 44 cm. The base BC is of length 12 cm. Side AB and side AC are congruent. A circle touches the three sides as shown in the figure below. Find the length of the tangent segment from A to the circle.
In Fig. 9, is shown a sector OAP of a circle with centre O, containing ∠θ. AB is perpendicular to the radius OQ and meets OP produced at B. Prove that the perimeter of shaded region is
`r[tantheta+sectheta+(pitheta)/180-1]`
In Fig 4, a circle is inscribed in an equilateral triangle ABC of side 12 cm. Find the radius of inscribed circle and the area of the shaded region.[Use π=3.14 and √3=1.73]
A horse is tied to a pole with 28m long string. Find the area where the horse can graze.
Four cows are tethered at four corners of a square plot of side 50m, so that’ they just cant reach one another. What area will be left ungrazed.
Four equal circles each of radius a, touch each other. Show that area between them is `6/7a^2`
Find the circumferences of a circle whose radius is 7 cm.
In the given figure,
\[\square\] PQRS is a rectangle. If PQ = 14 cm, QR = 21 cm, find the areas of the parts x, y, and z.
The circumference of a circle is 22 cm. Find the area of its quadrant.
The side of a square is 10 cm. Find the area of the inscribed circle. [Take π = 3.14.]
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 ______.
Find the curved surface area , the total surface area and the volume of a cone if its :
Height = 15 cm , radius = 8 cm
A wire when bent in the form of a square encloses an area of 484 cm2. If the same wire is bent into the form of a circle, find the area of the circle.
The wheel of the car makes 10 revolutions per second. If its diameter is 70 cm, find the speed of the car in km per hour.
The shaded portion of the figure, given alongside, shows two concentric circles. If the circumference of the two circles is 396 cm and 374 cm, find the area of the shaded portion.
The circumference of a circle exceeds its diameter by 18 cm. find the radius of the circle.
Find the area and perimeter of the following semicircles: Diameter = 7cm
In covering a distance s metres, a circular wheel of radius r metres makes `s/(2πr)` revolutions. Is this statement true? Why?
Find the number of revolutions made by a circular wheel of area 1.54 m2 in rolling a distance of 176 m.
In reference to a circle the value of π is equal to ______.
