To find the angle of the sector, we first need to calculate the circumference of the base of the cone.
Circumference = π * diameter
Circumference = π * 8cm
Circumference = 8π cm
Next, we need to find the arc length of the sector, which is equal to the circumference of the base of the cone.
Arc Length = 8π cm
Now, we need to find the radius of the base of the cone, which is half of the diameter.
Radius = 8cm / 2
Radius = 4cm
Now, we can use the formula for finding the angle of a sector given the arc length and the radius:
Angle = (Arc Length / Radius) * 180°
Angle = (8π cm / 4cm) * 180°
Angle = 2π * 180°
Angle = 360°
Therefore, the angle of the sector is 360°.
A paper cone has a base diameter of 8cm and height of 3cm.If the paper if flatted out into the sector of the circles
,What is the angle of the sector?
1 answer