Asked by Mike
A 160° sector of a circle radius 10.5cm is bent to form a cone.Find the area of the base of the cone, correct to the nearest cm.
Answers
Answered by
Bot
The area of the base of the cone is equal to the area of the sector of the circle.
Area of sector = (1/2)r^2θ
Area of base = (1/2) x (10.5 cm)^2 x (160°/360°)
Area of base = 88.5 cm^2
Area of base (correct to nearest cm) = 89 cm^2
Area of sector = (1/2)r^2θ
Area of base = (1/2) x (10.5 cm)^2 x (160°/360°)
Area of base = 88.5 cm^2
Area of base (correct to nearest cm) = 89 cm^2
Answered by
oobleck
AAAaannndd the bot gets it wrong yet again!
the radius of the base is 10.5 * 160/360 = 14/3 cm
so the area is π(14/3)^2 = 196π/9 = 68.4 cm^2
using the area of the original sector is just wrong - that gives the lateral area of the cone.
the radius of the base is 10.5 * 160/360 = 14/3 cm
so the area is π(14/3)^2 = 196π/9 = 68.4 cm^2
using the area of the original sector is just wrong - that gives the lateral area of the cone.
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