# Geometry

posted by .

A circular flower bed is sectioned off. The arc intercepted by the 120 degree central angle is to be bordered with marigolds. The garden has a diameter of 63 inches. Circumference = Pi * diameter, Pi = 22/7. If you plant the marigolds about eight inches apart what is the least number you must buy?

• Geometry -

The radius of the circle is given by

2*pi/3 * r = 63
r = 30

So, the area of the 1/3 of the flower bed to be planted is

pi/3 * r^2 = pi/3 * 900 = 943 sq in.

If the marigolds are planted in a rectangular grid, that allocates 64 sq in per flower, so you'd need about

943/64 = 15 marigolds.

Of course, an 8" square grid means that diagonally opposite flowers are about 11.2" apart. If you plant them in a triangular lattice of side 8", then you'd have somewhere 20 around flowers, depending on how they were arranged

## Similar Questions

1. ### trigonometry

Gabe is spending two weeks on an archaeological dig. He finds a fragment of a circular plate that his leader thinks may be valuable. The arc length of the fragment is about 1/6 the circumference of the original complete plate and measures …
2. ### Trigonometry

I am trying to help my child out with a problem but yeah I am finding it veyr hard. Gabe is spending two weeks on an archaeological dig. He finds a fragment of a circular plate that his leader thinks may be valuable. The arc length …
3. ### Algebra

For this circle, a 50 degree central angle cuts off an arc of 6 in. What is the circumference?
4. ### geometry

a 30 degree angle cuts off an arc in a circle with a diameter of 10in find the length to the nearest hundredth
5. ### math

Find sum of the areas for the flower garden, patio, and water features circular base. Flower garden: 1.25 in. Water features: diameter: 0.75 in. Height: 1in. Patio: diameter: 2.75 in.
6. ### Math

Janet has a circular garden in her front yard with a diameter of 8 feet. How does the diameter d compare to the circumference C of the garden?
7. ### Math

Janet has a circular garden in her front yard with a diameter of 8 feet. How does the diameter d compare to the circumference C of the garden?
8. ### Geometry

Find the arc length, of a 130 degree arc, in a circle with a diameter of 7.2 inches. Round your answer to the nearest thousandth
9. ### Math

Students in Mr.Tandoc's shop class made a circular railroad crossing sign for a school play. The diameter of the sign was about 4 feet. How does the diameter compare to the circumference of the sign?
10. ### Math

Students in Mr. Tandoc's shop class made a circular railroad crossing sign for a school play. The diameter of the sign was about 4 feet. How does the diameter compare to the circumference of the sign?

More Similar Questions