# A circle's center is at #(3 ,9 )# and it passes through #(4 ,5 )#. What is the length of an arc covering #( pi ) /6 # radians on the circle?

Arc Length:

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

To find the length of an arc covering ( \frac{\pi}{6} ) radians on the circle, we first need to find the radius of the circle using the given center and a point on the circle. Then, we can use the formula for the length of an arc:

[ \text{Arc Length} = r \cdot \theta ]

Where ( r ) is the radius of the circle and ( \theta ) is the angle in radians subtended by the arc at the center of the circle.

Given the center (3, 9) and a point on the circle (4, 5), we can use the distance formula to find the radius of the circle. Then, we can plug the values into the formula to find the arc length.

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.

- What is the equation of the circle with a center at #(2 ,2 )# and a radius of #4 #?
- A circle has a center that falls on the line #y = 5/3x +1 # and passes through #(8 ,2 )# and #(3 ,1 )#. What is the equation of the circle?
- Points #(2 ,4 )# and #(1 ,9 )# are #(3 pi)/4 # radians apart on a circle. What is the shortest arc length between the points?
- To the nearest hundredth of a foot, what is the radius of a circular sector whose area is 45 square feet and that intercepts an arc with measure 25?
- Triangle ABC is inscribed in a circle that is inscribed in a square. If AB,AC and BC are 8,9 and 10 respectively, determine the exact area of the square?

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