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
The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes. [Use `pi = 22/7`]
To warn ships for underwater rocks, a lighthouse spreads a red coloured light over a sector of angle 80° to a distance of 16.5 km. Find the area of the sea over which the ships warned. [Use π = 3.14]
A round table cover has six equal designs, as shown in figure. If the radius of the cover is 28 cm, find the cost of making the designs at the rate of Rs.0.35 per cm2. [Use `sqrt3 = 1.7`]
In fig. 6, AB is a chord of a circle, with centre O, such that AB = 16 cm and radius of circle is 10 cm. Tangents at A and B intersect each other at P. Find the length of PA ?
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)
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.]
Find the area of the sector whose arc length and radius are 8 cm and 3 cm respectively.
Find the area of a sector of a circle of radius 28 cm and central angle 45°.
Find the area of the minor segment of a circle of radius 14 cm, when the angle of the corresponding sector is 60°.
