# A triangle has vertices A, B, and C. Vertex A has an angle of #pi/12 #, vertex B has an angle of #pi/12 #, and the triangle's area is #8 #. What is the area of the triangle's incircle?

Firs by AA the triangle is isosceles triangle with sides

1)

2)

3)

From 1) we have

Substitute into 2)

Now letting

Now the task is to find the radius of the Incenter, Inradius

An the

By signing up, you agree to our Terms of Service and Privacy Policy

The area of the triangle's incircle is (4\sqrt{3}).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- A circle's center is at #(3 ,1 )# and it passes through #(5 ,6 )#. What is the length of an arc covering #(7pi ) /12 # radians on the circle?
- A circle has a center at #(3 ,0 )# and passes through #(1 ,1 )#. What is the length of an arc covering #(3pi ) /4 # radians on the circle?
- A triangle has vertices A, B, and C. Vertex A has an angle of #pi/12 #, vertex B has an angle of #pi/8 #, and the triangle's area is #5 #. What is the area of the triangle's incircle?
- A triangle has corners at #(9 ,5 )#, #(2 ,3 )#, and #(7 ,6 )#. What is the area of the triangle's circumscribed circle?
- A circle has a center that falls on the line #y = 4/7x +6 # and passes through # ( 2 ,1 )# and #(3 ,5 )#. What is the equation of the circle?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7