A circle's center is at #(4 ,0 )# and it passes through #(6 ,9 )#. What is the length of an arc covering #(5pi ) /3 # radians on the circle?
First we must find the radius of the circle.
We know the distance from the center to any point it passes through is the radius.
By signing up, you agree to our Terms of Service and Privacy Policy
Let r = the radius
Let s = the arc length
By signing up, you agree to our Terms of Service and Privacy Policy
To find the length of an arc covering (5π/3) radians on the circle, we first need to find the radius of the circle using the given coordinates. The distance between the center of the circle (4, 0) and the point on the circle (6, 9) can be found using the distance formula. Then, we can use the formula for the length of an arc on a circle, which is given by the formula:
Arc Length = radius * angle (in radians).
After finding the radius and given angle, we can calculate the length of the arc.
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.
- Two circles have the following equations: #(x +6 )^2+(y -1 )^2= 49 # and #(x +4 )^2+(y +7 )^2= 81 #. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?
- A circle has a center at #(1 ,3 )# and passes through #(2 ,4 )#. What is the length of an arc covering #pi /4 # radians on the circle?
- Two circles have the following equations: #(x +2 )^2+(y -1 )^2= 49 # and #(x +4 )^2+(y +7 )^2= 25 #. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?
- A circle has a chord that goes from #( 5 pi)/6 # to #(5 pi) / 4 # radians on the circle. If the area of the circle is #21 pi #, what is the length of the chord?
- A triangle has sides with lengths of 2, 3, and 8. What is the radius of the triangles inscribed circle?

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