I am supposed to find the area of the shaded section of a circle. The circle is cut with two radi with an angle of 60 degrees. Then where the radi touch the circle another line is drawn to connect them. The triangle and the small section between the triangle and the edge of the circle are the shaded areas. It also tells me that the unshaded area of the circle is 10 m.

I am not sure how to find all of the shaded area. Please help.

If the pie shaped wedge is shaded, then it has an area of 1/6 the area of the circle.

As I read, 10m^2=arecircle-shaded pie wedge

shaded area=10m^2-area circle

But the shaded area is 1/6 of the circle
shaded area=10-5shaded area
shaded area=10/6 m^2

42

so the answer is 42 my thing says Lesson 8 I might have the wrong page v.v

To find the shaded area, you will need to calculate the area of the triangle and the small section separately and then subtract the sum of these areas from the total area of the circle.

Let's start by finding the area of the triangle. Since the angle between the radii is 60 degrees and the length of the radii is not given, we will assume it as 'r' (the radius of the circle).

The formula to calculate the area of a triangle is A = 1/2 * base * height. In our case, the base of the triangle is the length of one of the radii.

To find the height, we can draw a line perpendicular to the base, which will bisect the triangle into two congruent right triangles. Since the angle between the radii is 60 degrees, the angle between the radius and the base is half of that, which is 30 degrees.

Using trigonometry, we can determine that the height of the triangle is r * sin(30°).

So, the area of the triangle is A_triangle = 1/2 * r * r * sin(30°).

Next, we need to find the area of the small section between the triangle and the edge of the circle.

This small section can be thought of as a sector of the circle with a central angle of 60 degrees minus the area of the triangle.

The formula to calculate the area of a sector is A_sector = (θ/360°) * π * r^2, where θ is the central angle.

Therefore, the area of the small section is A_section = (60°/360°) * π * r^2 - A_triangle.

Lastly, subtract the sum of the areas of the triangle and the small section from the total area of the circle to find the shaded area.

The total area of the circle is given as 10 m, so we have:

Shaded area = Total area of the circle - (Area of the triangle + Area of the small section).

You can substitute the formulas we derived above to calculate the shaded area.