Question

Some days, Lacy runs one complete lap around a lake. Other days, she runs one complete lap around a park The following diagram shows the dimensions of the lake and park on a coordinate grld. SO 6-F Lake 40+ 20 GO SO BU -60 -40 -20 -2014 Park -60-1 Coordinate value ore in me Wych lapis longer and how much longer

Answer 1

The figure shows the coordinate of lacy runs

Lacy run a complete lap with the coordinate (40, 40)

Firstly, calculate the distance of a circle

From the figure, the radius is 40

Distance of a circle = 2 x pi x r

Distance is known as the circumference of the circle

pi = 3.142

r = 40

C = 2 x 40 x 3.142

C = 80 x 3.142

C = 251.36

For the second Lap she ran

We were able to generate two points which are

(40, -60) and (-60, -60)

let x1 = 40, y1 = -60, x2 = -60 and y2 = -60

`\begin{gathered} \text{Distance = }\sqrt[]{(x1-x2)^2+(y1-y2)^2} \\ =\text{ }\sqrt[]{(40-(-60)\rbrack^2+-60-(-60)\rbrack^2} \\ =\sqrt[]{(40+60)^2+(-60+60)^2} \\ =\sqrt[]{100^2\text{ + 0}} \\ =\text{ }\sqrt[]{10000} \\ =\text{ 100} \end{gathered}`

For the second lap, the distance is 100

Therefore, the first complete lap whiich is the circle is longer than the second lap

251 .36 - 100

= 151.36

Its longer by 151.36