Sadie wants to draw a clock face on a circular piece of cardboard. If the clock face has a diameter of 20 centimeters and is divided into congruent pieces so that each sector is 30 degrees, what is the area of each piece?

Respuesta :

Answer:

50/6π

Step-by-step explanation:

Given that:

  • Diameter of 20 centimeters

=> the radius is: 20/2 = 10 centimeters

We need to find the area of the clock face

  • Area = π[tex]r^{2}[/tex] =  π*10*10 = 100π

She divided into congruent pieces so that each sector is 30 degrees it means that clock face (360 degrees) is devided into:

= 360degree / 30 degree

= 12 equal parts

  • => the area of each piece

= The area of the clock face/ 12 equal parts  

= 100π / 12

= 50/6π