00:01
We're going to find the shaded area in the circle, which consists of two parts, a major sector, oabc, and a central triangle oac.
00:10
The central angle of the triangle is given as 5 thirds radiance.
00:16
The lengths of the two sides of the triangle adjacent to the central angle are 12 units, which is the radius of the circle.
00:24
To find the area of the shaded portion, we just need to add the areas of the major sector, and the triangle.
00:33
First, let's look at the major sector oabc.
00:36
We know that the central angle of the triangle is pi -thirds radiance.
00:41
To find the angle of the sector oapc, we will subtract this angle from the full circle angle, 2 pi radiance.
00:49
So the major sector has an angle of 2 pi minus pi thirds radiance.
00:56
Now let's find the area of the major sector oabc.
01:00
We know that the angle of it is 2 pi minus pi 3rds radiance...