A man jogs around a circular track 6 times daily. if the diameter of the track is 1400 m how much distance does the man jog daily
Answers
Answer:
A man jogs around a circular track 6 times daily. If the diameter of the track is 1400 m, then 26400 m distance does the man jog daily.
Step-by-step explanation:
Given: A man jogs around a circular track = 6 times
The diameter of the track = 1400 m
Find: how much distance does the man jog daily
Step 1: Find the distance covered in one round.
The distance covered in one round = circumference of the circle
So, the distance covered in one round is 4400 m.
Step 2: Find the distance does the man jogs daily.
A man jogs around a circular track 6 times daily.
If the distance covered in one round is 4400 m, then distance covered in 6 times = 6 ×4400
= 26400 m
26400 m distance does the man jog daily.
Given :-
A man jogs around a circular track 6 times daily. if the diameter of the track is 1400 m
To Find :-
Distance covered by man daily
Solution :-
We know that
Radius = Diameter/2
⇒ Radius = 1400/2
⇒ Radius = 700 m
Now,
Since he covers around the park. So in 1 round he covers the circumference of track
Circumference = 2πr
⇒ Circumference = 2 × 22/7 × 700
⇒ Circumference = 2 × 22 × 100
⇒ Circumference = 4400 m
Since he covers 6 times. So,
⇒ Distance covered = 6 × Circumference
⇒ Distance covered = 6 × 4400
⇒ Distance covered = 26400 m
In km
We know that
1 km = 1000 m
26400 m = 26400/1000
26400 m = 26.4 km