Question

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?

Answer 1

50/6π

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
  `r^(2)` = 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