Posted by **Tristan** on Monday, November 28, 2011 at 9:19am.

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 -
**Steve**, Monday, November 28, 2011 at 10:43am
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

## Answer this Question

## Related Questions

- Trigonometry - I am trying to help my child out with a problem but yeah I am ...
- trigonometry - Gabe is spending two weeks on an archaeological dig. He finds a ...
- Algebra - For this circle, a 50 degree central angle cuts off an arc of 6 in. ...
- geometry 2 - circle K has an area of 64 pi units ^2. Find the exact length of ...
- trig - What is the length of the circular arc intercepted by a central angle of ...
- math - A circular arc has measure 22ft and is intercepted by a central angle of...
- trig - Find the length of the circular arc intercepted by a central angle of 20 ...
- geometry - A flower bed in the corner of your yard is in shape of a right ...
- geometry - Circle O above has a circumference of 240 cm and arc XW has a length ...
- math(advanced algebra&trigonometry) - A circle has a radius of 4 inches. In ...