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5. Latisha swims in a circular swimming pool at a local park. The circumference of the pool is 80 ft. For exercise, she
swims across the center of the pool and back 20 times each day. About how far does she swim each day?
A. 510 ft
B. 1,020 ft
C. 1,600 ft
D. 3,200 ft

Sagot :

Answer:

A

Step-by-step explanation:

To calculate how far Latisha swims each day, we need to find the total distance she covers swimming across the diameter of the circular pool and back.

Given:

The circumference of the circular pool is 80 ft.

She swims across the diameter (which is twice the radius) of the pool and back 20 times each day.

Let's break down the calculation:

Distance per lap: When Latisha swims across the diameter and back, she covers a distance equal to the diameter of the pool. The diameter is twice the radius, so it's

2

×

radius

2×radius. Since the circumference is

2

×

radius

2π×radius, and the circumference is given as 80 ft, we can find the radius:

2

×

radius

=

80

 ft

2π×radius=80 ft

radius

=

80

 ft

2

radius=

80 ft

radius

80

2

×

3.14

 ft

radius≈

2×3.14

80

 ft

radius

80

6.28

 ft

radius≈

6.28

80

 ft

radius

12.74

 ft

radius≈12.74 ft

So, the distance per lap is approximately

2

×

12.74

2×12.74 ft.

Total distance per day: Latisha swims across and back 20 times each day, so the total distance she covers in one day is:

Total distance

=

Distance per lap

×

20

Total distance=Distance per lap×20

Total distance

=

(

2

×

12.74

)

×

20

 ft

Total distance=(2×12.74)×20 ft

Total distance

25.48

×

20

 ft

Total distance≈25.48×20 ft

Total distance

509.6

 ft

Total distance≈509.6 ft

Rounded to the nearest whole number, Latisha swims approximately 510 ft each day.

So, the answer is A. 510 ft.