If a man walks around a circle 2.125 times, how many meters did he walk if the radius of the circle is 4m
2 answers:
We are given radius of circle as 4m.
Now if a man walks around a circle means we are considering the circumference here.
Circumference of circle can be found with the formula:
Where r = radius of circle and pi = 3.14
plugging these values in the formula ,
Circumference = 25.12 m
Now distance covered by man when he walks around the circle once = 25.12m
distance covered by man when he walks around the circle 2.125 times = 25.12 *2.125 = 53.38 m
Answer : 53.38 m
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<h2>Steps:</h2>
So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:
Next, divide both sides by 2:
Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:
-8 ÷ 2 = -4, (-4)² = 16
Add 16 to both sides of the equation:
Next, factor the left side:
Next, square root both sides of the equation:
Next, add 4 to both sides of the equation:
Now, while this is your answer, you can further simplify the radical using the product rule of radicals:
- Product rule of radicals: √ab = √a × √b
√12 = √4 × √3 = 2√3.
In exact form, your answer is
In approximate form, your answers are (rounded to the hundreths)