Attempt following question by selecting a choice to answer.
c
An athlete was running on a circular track of diameter
80 m. He first started at a point and ran
23 distance of the track length, in clockwise direction and ran
13 distance of the track length, in anti clockwise direction. Find the total distance he ran.
[Approximate the distance to the nearest integer.] [Take π = 3.]c cA.
c 440 m
B.
c240 m
C.
c340 m
D.
c 290 m
c
B
Step 1: Diameter of circular track = 80 m[Given.]
Step 2: Circumference of circular track = 80 × π[Circumference = π × diameter.]
Step 3: The distance covered by the athlete in clockwise direction is 23 of circumference of circular track.[Given.]
Step 4: Distance covered = 23× π × 80.[Step3.]
Step 5: = 160π3[Simplify.]
Step 6: Distance covered in anti clockwise direction is 13of circumference of circular track.[Given.]
Step 7: = 13 × 80π[Step 6.]
Step 8: Total distance athlete ran = 160π+80π3[Step 5 and Step 8.]
Step 9: = 240π3[Simplify.]
Step 10: = 240 m[Simplify.]