Advertisements
Advertisements
प्रश्न
Find the area of the minor segment of a circle of radius 14 cm, when its central angle is 60˚. Also find the area of the corresponding major segment.[use π=22/7]
उत्तर
Radius of the circle = 14 cm
Central Angle, 𝜽 = 60°,
Area of the minor segment
`=theta/360^@xxpir^2-1/2r^2sintheta`
`=60^@/360^@xxpixx14^2-1/2xx14^2xxsin60^@`
`=1/6xx22/7xx14xx14-1/2xx14xx14xxsqrt3/2`
`=(22xx14)/3-49sqrt3`
`=(22xx14)/3-(147sqrt3)/3`
`=(308-147sqrt3)/3 cm^2`
Area of the minor segment= `(308-147sqrt3)/3 cm^2`
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`]
In the given figure, OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the shaded region.
The area of sector of circle of radius 2cm is 𝜋cm2. Find the angle contained by the sector.
The area of sector of circle of radius 5cm is 5𝜋 cm2. Find the angle contained by the sector.
A chord PQ of a circle with a radius of cm subtends an angle of 60° with the center of the circle. Find the area of the minor as well as the major segment. ( \[\pi\] = 3.14, \[\sqrt{3}\] = 1.73)
The diameter of a sphere is 6 cm, Find the total surface area of the sphere. (π = 3.14)
Is it true to say that area of a segment of a circle is less than the area of its corresponding sector? Why?
In figure, ABCD is a trapezium with AB || DC, AB = 18 cm, DC = 32 cm and distance between AB and DC = 14 cm. If arcs of equal radii 7 cm with centres A, B, C and D have been drawn, then find the area of the shaded region of the figure.
What is the length of arc of a circle of radius 7 cm which subtends an angle of 90° at the centre of the circle?
Find the area of the unshaded region shown in the given figure.
