what is the central angle of the sector to be used to make a cone of base radius 10 cm and slant height 25 cm
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Given : sector used to make a cone of base radius 10 cm and slant height 25 cm
To Find : central angle of the sector
Solution:
Slant height of cone = 25 cm
Hence radius of paper = 25 cm
Base radius of cone = 10 cm
Hence circumference of base = 2πr
= 2π(10)
= 20π cm
Hence arc length of paper = 20π
Radius = 25 cm
Sector angle = x°
(x/360°) * 2π * 25 = 20π
=> (x/360°) 25 = 10
=> x = 360 * 10 /25
=> x = 144
central angle of the sector to be used = 144°
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