# What is the area of a regular hexagon circumscribed iinside a circle with a radius of 1?

The regular hexagon can be cut into 6 pieces of equilateral triangles with length of 1 unit each.

For each triangle, you can compute the area using either

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The area of a regular hexagon circumscribed inside a circle with a radius of 1 is approximately 3.464 square units.

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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 pyramid has a parallelogram shaped base and a peak directly above its center. Its base's sides have lengths of #2 # and #9 # and the pyramid's height is #4 #. If one of the base's corners has an angle of #pi/3#, what is the pyramid's surface area?
- A cone has a height of #15 cm# and its base has a radius of #9 cm#. If the cone is horizontally cut into two segments #6 cm# from the base, what would the surface area of the bottom segment be?
- Cups A and B are cone shaped and have heights of #24 cm# and #24 cm# and openings with radii of #6 cm# and #11 cm#, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?
- A cone has a height of #18 cm# and its base has a radius of #4 cm#. If the cone is horizontally cut into two segments #4 cm# from the base, what would the surface area of the bottom segment be?
- How do you use Heron's formula to find the area of a triangle with sides of lengths #12 #, #4 #, and #7 #?

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