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2. A circle of radius 12 units is divided into 8 congruent slices.
a. What is the area of each slice?
b. What is the arc length of each slice?

Respuesta :

Answer:

a: 18pi

b: 3pi

Step-by-step explanation:

part a:

total area = 12^2*pi = 144pi

144pi/8 = 18pi

part b:

total circumference = 12*2*pi = 24pi

24pi/8 = 3pi

ajeigbeibraheem

The area of each slice from the circel is 18π. The arc length of each side from the circumference of the circle is 3π.

What is the area of a circle?

The area of a circle is an enclosed region within a confined boundary. The area of a circle is measured as the product of π multiplied by the square of a radius.

From the information given:

  • The radius of the circle (r) = 12 units

The area of the circle = πr²

The area of the circle = π(12)²

The area of the circle = 144π

However, if the area is divided into 8 congruent(similar and equal) slices, the slice of each area will be:

=  144π/8

= 18π

The circumference of a circle = 2πr

  • If the radius = 12

The circumference of a circle = 2π(12)

The circumference of a circle = 24π

The arc length of each side from the circumference of the circle is:

= 24π/8

= 3π

Learn more about the area of a circle here:

https://brainly.com/question/402655

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