A sector with an arc of 120 was cut out of a circle with a diameter of 12 cm. Find the area of the remaining part

Let us assume that π is 3.14 by default.

Let’s find out how many centimeters the radius of this circle will be if we know from the condition of the task that its diameter is 12 centimeters:

12: 2 = 6.

Let’s find out how many degrees the angle of the rest of the circle corresponds to if we know from the conditions of the task that a sector with an angle of 120 ° was cut out of it:

360 – 120 = 240.

Let’s find out how many square centimeters the area of the remaining part of the circle will equal:

S = 3.14 * 6 ^ 2 * 240/360 = 3.14 * 36 * 2/3 = 75.36.

Answer: 75.36 cm2.