a circular city plaza is surrounded by a row of bricks. the area of the plaza is 1,520 square meters. how…

a circular city plaza is surrounded by a row of bricks. the area of the plaza is 1,520 square meters. how long is the row of bricks, to the nearest meter? type the answer in the box. meters

a circular city plaza is surrounded by a row of bricks. the area of the plaza is 1,520 square meters. how long is the row of bricks, to the nearest meter? type the answer in the box. meters

Answer

Explanation:

Step1: Find the radius from the area

The area formula of a circle is $A = \pi r^{2}$. Given $A = 1520$ square - meters, we can solve for $r$: $r=\sqrt{\frac{A}{\pi}}=\sqrt{\frac{1520}{\pi}}$

Step2: Calculate the circumference

The length of the row of bricks is equal to the circumference of the circle, and the circumference formula is $C = 2\pi r$. Substitute $r=\sqrt{\frac{1520}{\pi}}$ into the formula: $C = 2\pi\sqrt{\frac{1520}{\pi}}=2\sqrt{1520\pi}$ $C = 2\sqrt{1520\times3.14}=2\sqrt{4772.8}\approx2\times69.08 = 138.16\approx138$

Answer:

138