As shown in the above diagram, a person starts from the centre O of a circular path AB, walks along the line indicated by arrows and returns to the same point. If the radius OA = OB = 100 metres, what is the total distance walked to the nearest metres?

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Submitted by examrobotsa on

Q: 10 (CAPF/2013)
As shown in the above diagram, a person starts from the centre O of a circular path AB, walks along the line indicated by arrows and returns to the same point. If the radius OA = OB = 100 metres, what is the total distance walked to the nearest metres?

question_subject: 

Maths

question_exam: 

CAPF

stats: 

0,10,13,3,10,7,3

keywords: 

{'circular path ab': [0, 0, 0, 1], 'total distance': [0, 0, 1, 0], 'radius oa': [0, 0, 0, 1], 'nearest metres': [0, 0, 0, 1], 'above diagram': [0, 0, 1, 0], 'metres': [0, 1, 1, 0], 'arrows': [0, 1, 0, 1], 'line': [4, 1, 3, 4], 'ob': [0, 0, 0, 1], 'returns': [0, 0, 0, 2]}

In this question, we are given a diagram where a person starts from the center O of a circular path AB, walks along the arrows, and returns to the same point. We are asked to find the total distance walked.

To solve this question, we need to understand the concept of circumference and how it relates to the radius of a circle. The circumference of a circle is the distance around its edge. It can be calculated using the formula: circumference = 2 * π * radius, where π is a constant approximately equal to 3.14.

In this case, we are given that the radius OA = OB = 100 meters. Therefore, we can calculate the circumference of the circular path AB by substituting the radius value into the formula:

circumference = 2 * π * 100 meters = 200 * 3.14 meters = 628 meters (rounded to the nearest meter).

Since the person walks along the entire circumference of the circular path AB, the total distance walked is equal to the circumference of the path, which is 628 meters when rounded to the nearest meter.

Therefore, the correct answer is option 2 - 723.