At a zoo, the lion pen has a ring-shaped sidewalk around it. the outer edge of the sidewalk is a circle with a radius of 11 m. the inner edge of the sidewalk is a circle with a radius of 9 m.
⦁ write and simplify an expression for the exact area of the sidewalk.
⦁ find the approximate area of the sidewalk. use 3.14 to approximate π

Step-by-step explanation:

We have been given that at a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. The inner edge of the sidewalk is a circle with a radius of 9 m.

To find the area of the side walk we will subtract the area of inner edge of the side walk of lion pen from the area of the outer edge of the lion pen.

, where r represents radius of the circle.

Therefore, the exact area of the side walk is

To find the approximate area of side walk let us substitute pi equals 3.14.

Therefore, the approximate area of the side walk is .

the answer is 24

step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."