Advertisements
Advertisements
प्रश्न
The area of the sector of a circle of radius 12 cm is 60π cm2. The central angle of this sector is ______.
विकल्प
120°
6°
75°
150°
उत्तर
The area of the sector of a circle of radius 12 cm is 60π cm2. The central angle of this sector is 150°.
Explanation:
Area of sector = 60π cm2
Radius r = 12 cm
`"Area of sector" = θ/360xxpir^2`
`60pi = θ/360xxpixx12^2`
`60pi = θ/360xxpixx144`
`60 = θ/360xx12^2`
`60xx360/144=θ`
`θ= 150`
Thus, the central angle of this sector is 150°
APPEARS IN
संबंधित प्रश्न
A brooch is made with silver wire in the form of a circle with diameter 35 mm. The wire is also used in making 5 diameters which divide the circle into 10 equal sectors as shown in figure. Find.
- The total length of the silver wire required.
- The area of each sector of the brooch [Use π = `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 sector of a circle of radius 8cm contains the angle of 135°. Find the area of sector.
The area of sector of circle of radius 5cm is 5𝜋 cm2. Find the angle contained by the sector.
In a circle of radius 7 cm, a square ABCD is inscribed. Find the area of the circle which is outside the square.
A chord of length 6 cm is at a distance of 7.2 cm from the centre of a circle. Another chord of the same circle is of length 14.4 cm. Find its distance from the centre.
Find the area of a sector of a circle having radius 6 cm and length of the arc 15 cm.
Four circular cardboard pieces of radii 7 cm are placed on a paper in such a way that each piece touches other two pieces. Find the area of the portion enclosed between these pieces.
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.
The length of the minute hand of a clock is 6 cm. Find the area swept by it when it moves from 7:05 p.m. to 7:40 p.m.
