The area of a circle is 90 degrees Find the area of a sector with a round center angle of 60 degrees

From the condition, we know that the area of the circle is 90, and we also know that the central angle is 60 °.

In order to find the area of a sector of a circle, let’s compose and solve the proportion.

The circle is 360 °. Let’s write down:

360 ° – 90;

Let’s denote the area of a sector with a central angle of 60 ° using the variable x.

60 ° – x.

Let’s make the proportion:

360/60 = 90 / x;

We must find the unknown extreme term of the proportion, for this we divide the product of the middle terms by the known extreme term of the proportion:

x = (60 * 90) / 360 = 5400/360 = 15 sq. units.