How many feet of monkey grass would you need to go around a circular flower bed if you know that the area is 36π ft2?

Question

Mathematics

Emmy Henson

12 November, 22:29

How many feet of monkey grass would you need to go around a circular flower bed if you know that the area is 36π ft2?

+4

Answers (2)

Know the Answer?

Hezekiah Peck · Answer 1

Work out the perimeter

36 pi = pi r^2

so r^2 = 36 and r = 6

perimeter = 2 pi r = 12 pi ft

Brooklyn Carey · Answer 2

A=pr^2 and C=2pr

Solving for r in area gives you:

r=√ (A/p), and using this in the circumference equation gives you:

C=2p√ (A/p)

C=√ ((4Ap^2) / (p))

C=√ (4Ap) ft, now given that A=36p:

C=√ (144p^2) ft

C=12p ft