Mathematics 2018 JAMB Past Questions - Question 31: How many times, correct to the nearest whole number, will a man run round a circular track of diameter 100m to cover a distance of 1000m?

Correct Answer

A

Explanation

P of a circle = 2r = 2 x 22/7 x 50 22000 /71000m = 1000 / 2200/7 = 1000 x 7/2200 = 35/11= 3.18 =3To find out how many times a man will run around a circular track of diameter 100m to cover a distance of 1000m, we can use the formula:Number of laps = Total distance / Distance covered in one lapThe distance covered in one lap is the circumference of the circular track, which is given by the formula: Circumference = π * diameter.So, the distance covered in one lap is:C = π * 100m = 100π mNow, we can calculate the number of laps:Number of laps = 1000m / (100π m) ≈ 3.183Rounding to the nearest whole number, the man will need to run around the circular track approximately 3 times to cover a distance of 1000m.