Acone made of cardboard has a vertical height of 8 cm and a radius of 6 cm. if this cone is cut along the slanted height to make a sector, what is the central angle, in degrees, of the sector?

216 degrees is the answer.

Step-by-step explanation:

The vertical height of the cone = 8 cm  

The radius of the cone = 6 cm

The perimeter or circumference of the base of the cone is given by:

P =

=

Now the slanted height is calculated using Pythagoras theorem:

H =

=

= 10  

Let 'θ' is the sector angle that we have to find.  

Arc length of the sector is equal to the perimeter.

Arc length = θ

θ

θ=

(radian)

we know that 1 pi radian = 180 degrees.

So, 1.2 pi radian = degrees

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.

c

step-by-step explanation: