(a) 4 cm
(b) 8 cm
(c) 12 cm
(d) 16 cm
Doubt by Shravya
Solution :
Length of arc = 5p cm
Area of sector = 20p cm²
Radius = ?
Formula Used
Area of sector = ½×length of arc × Radius
2 [Area of sector / length of arc] = Radius
Radius = 2 [Area of sector / length of arc]
Radius = 2[20p/5p]
Radius = 40p/5p
Radius = 8 cm
Length of arc = 5p cm
Area of sector = 20p cm²
Radius = ?
Formula Used
Area of sector = ½×length of arc × Radius
2 [Area of sector / length of arc] = Radius
Radius = 2 [Area of sector / length of arc]
Radius = 2[20p/5p]
Radius = 40p/5p
Radius = 8 cm
Hence, (b) 8 cm, would be the correct option.
Similar Question :
1.) An arc of a circle is of length 5π cm and the sector bounds an area of 20π cm². Then, the radius of the circle is
1.) An arc of a circle is of length 5π cm and the sector bounds an area of 20π cm². Then, the radius of the circle is
(a) 4 cm
(b) 8 cm
(c) 12 cm
(d) 16 cm
2.) Area of sector of a circle of radius 36 cm is 54π cm². Find the length of the corresponding arc of the sector. [3π cm]
2.) Area of sector of a circle of radius 36 cm is 54π cm². Find the length of the corresponding arc of the sector. [3π cm]
3.) The length of an arc of a circle is 4 cm and its radius is 6 cm. Find the area of this sector of the circle. [12 cm²]