Asked by Amarachi
A sector of a circle of radius 8cm is bent to form a cone. Find the radius of the cone and it's vertical angle if the angle substended at the centre by the sector is 280°
Answers
Answered by
Reiny
If you make a sketch you will see that the arc length of the
sector becomes the circumference of the the base of the cone
For the sector, arc = rØ , where Ø must be in radians.
280° = 280π/180 rads = 14π/9 rad
Then for the cone's circular base,
2πr = 14π/9
r = 7/9 cm
sector becomes the circumference of the the base of the cone
For the sector, arc = rØ , where Ø must be in radians.
280° = 280π/180 rads = 14π/9 rad
Then for the cone's circular base,
2πr = 14π/9
r = 7/9 cm
Answered by
lean and dabber
You kinda silly
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i prefer dancing over swimming
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