Question

Members of a community center have decided to paint a large circular mural in the middle of the parking lot. The radius of the mural is to be 11 yards. Before they begin painting the mural, they use a rope to form the outline. How many yards of rope will they need?

Answer 1

69.124 yards of rope

Explanation:

This problem bothers on the mensuration of flat shapes, circles.

given that the members of the community used rope as outline for the circular shape mural.

we can tell that the perimeter of the mural is same as the perimeter of the rope.

Hence the length of rope used is same as the perimeter of the circular mural.

we know that the perimeter of a circle is given as

`C=2\pi r\\\\`

substituting radius r= 11 yards

we have

`C= 2*3.142*11\\\\C= 69.124 yards`