BoiNeedsSomeMilk
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Mathematics, 30.06.2019 04:00 Legrand4423
The sector AOB of a circle is shown. the length of its arc AB is 8pi cm. the sector is folded so that the straight edges meet and form a cone. calculate the radius of the base of the cone.
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old_engineer
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(Original post by BoiNeedsSomeMilk)
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Mathematics, 30.06.2019 04:00 Legrand4423
The sector AOB of a circle is shown. the length of its arc AB is 8pi cm. the sector is folded so that the straight edges meet and form a cone. calculate the radius of the base of the cone.
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SavageTiger1
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(Original post by BoiNeedsSomeMilk)
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Mathematics, 30.06.2019 04:00 Legrand4423
The sector AOB of a circle is shown. the length of its arc AB is 8pi cm. the sector is folded so that the straight edges meet and form a cone. calculate the radius of the base of the cone.
circumference of cone base = 8pi
circumference of a circle is measured by 2pi r
therefore the circumference of the circle formed by the base of the cone is worked out using 2 pi r, and therefore gave us 8 pi
thus we can form the equation:
8pi = 2 pi r
move 2 pi to the other side of equation
8 pi/2 pi = r
r is therefore equal to 4
r = 4cm
Hope this helped
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