A)Sam jogs 6 laps around a circular running track which has a radius of 30 meters. How far does she jog in total?
B)Tom and Jerry decide to find the perimeter of their garden. Tom measures the length as 5.2meters while Jerry measures the width as 37cm. ehat is the perimeter?
A. The circumference of a circle is the actual length around the circle.
Circumference C = 2 pi r
r = 30, pi = 3.14
C = (2)(3.14)(30)
C = 60(3.14)
C = 188.4 for 1 lap
6 laps = 6 * C
6 laps = 6 * 188.4 meters
6 laps = ? meters
B. P = 2w + 2L
w = 37 cm./100 = 0.37 m
L = 5.2 m
P = 2(0.37) + 2(5.2)
P = ? meters
A) To find how far Sam jogs in total, we need to find the circumference of the circular running track. The formula for the circumference of a circle is C = 2πr, where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14159, and r is the radius. In this case, the radius is given as 30 meters. Substituting the values into the formula, we get:
C = 2π(30)
C = 60π
So Sam jogs a total distance of 60π meters.
B) To find the perimeter of the garden, we need to add up the lengths of all the sides. The length is given as 5.2 meters and the width is given as 37 centimeters. Since 1 meter is equal to 100 centimeters, we need to convert the width to meters.
37 centimeters = 37/100 meters = 0.37 meters
Now we can find the perimeter by adding up all the sides:
Perimeter = 2(length + width)
Perimeter = 2(5.2 + 0.37)
Perimeter = 2(5.57)
Perimeter = 11.14 meters
So the perimeter of Tom and Jerry's garden is 11.14 meters.