find the base radius of a cone made from a sector of radius 8cm and angle 90°.
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Youve taken a semi circle (r=12) and formed it into a cone such that the center of the semicircle is the apex, the slant height is the radius and then base circumference is the arc length of the semi circle.
Semicircle: Arc length = 1/2 circ. =(1/2) 2πr = 12π = circumference of cone
Cone: base circference c=2πr. r = c/2π
= 12π/2π = 6 cm.
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