A triangle has corners at #(9 ,4 )#, #(7 ,1 )#, and #(3 ,9 )#. What is the area of the triangle's circumscribed circle?
Area of circumscribed circle is
And radius of circumscribed circle is
By signing up, you agree to our Terms of Service and Privacy Policy
To find the area of the circumscribed circle of a triangle, you can use the formula:
[ A = \frac{{abc}}{{4R}} ]
Where:
- ( a ), ( b ), and ( c ) are the lengths of the sides of the triangle.
- ( R ) is the radius of the circumscribed circle.
First, you need to find the lengths of the sides of the triangle using the distance formula:
[ d = \sqrt{{(x2 - x1)^2 + (y2 - y1)^2}} ]
Then, you can find the radius of the circumscribed circle using the formula:
[ R = \frac{{abc}}{{4A}} ]
Substituting the values of the sides and the area into the formula will give you the radius of the circumscribed circle.
Once you have the radius, you can find the area of the circle using the formula:
[ A_{\text{circle}} = \pi R^2 ]
Where ( \pi ) is approximately 3.14159.
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.
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 triangle has corners at #(7 ,4 )#, #(4 ,6 )#, and #(6 ,7 )#. What is the area of the triangle's circumscribed circle?
- A circle has an area of 32 square inches. The circle is dilated by a scale factor of #1/2# to produce a new circle. What is the area of the new circle?
- What is the equation of the circle with a center at #(2 ,-3 )# and a radius of #5 #?
- A circle's center is at #(4 ,1 )# and it passes through #(2 ,4 )#. What is the length of an arc covering #(pi ) /3 # radians on the circle?
- A circle's center is at #(3 ,4 )# and it passes through #(0 ,2 )#. What is the length of an arc covering #( pi ) /6 # radians on the circle?

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