A homeowner is building a circular fire pit in his backyard. He plans to outline the pit with bricks and cover the space inside the pit with sand. The homeowner has decided to build the pit with a diameter of 3 feet.

PART A: In order to know how many bricks to buy, the homeowner must know the distance around the outside of the pit. Calculate both the exact distance and the approximate distance.

PART B: In order to know how much sand to buy, the homeowner must know how much space needs to be covered inside the pit. Calculate both the exact area and the approximate area.

PART A:

1.5 or 4.71

PART B:

2.25 or 7.065

Step-by-step explanation:

PART A: (circumference)

In order to find circumference, you must multiply radius by

This would 1.5 (diameter [3] divided by 2) x = 1.5 or 4.71

PART B: (area)

The area of a circle can be found by the equation x

This would be 1.5 x 1.5 = 2.25 or 7.065

- "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."