A circular pond has a 95cm wide foot path along the edge.A man walks around theouter edge of te footpath of 55cm long steps.In 640 steps he makes a full round.What is the radius of the pond
640 steps x 55 cm/step = the circumference of the outer edge of the circle.
Circumference = 2 times pi times radius.
The radius of the outer circle that the man walked, it 95 + r
This includes the radius of the inner circle called "r"
C = 2 times 3.14 times (95+r)
Fill-in the circumference that you calculated and you can solve for r.
(note 3.14 is an approx. for pi.)
A circular pond has 90 cm, wide footpath along its edge. A man walk around the outer edge of the footpath with 66 cm long steps. In 500 step, he makes a full round. What is the radius of the pond?
To find the radius of the pond, we can use the formula for the circumference of a circle. The circumference (C) of a circle is given by the equation:
C = 2πr
where r is the radius of the circle and π is a mathematical constant approximately equal to 3.14159.
In this case, the total distance covered by the man in 640 steps is equal to the circumference of the outer edge of the footpath. The circumference can be calculated using the formula mentioned above:
C = 55 * 640
Next, we need to subtract the width of the footpath from the circumference to get the circumference of the pond itself. The width of the footpath is given as 95 cm, so:
C_pond = C - 95
Finally, we can use the formula for the circumference to find the radius of the pond:
C_pond = 2πr_pond
We can rearrange the equation to solve for r_pond:
r_pond = (C_pond) / (2π)
Now, we can substitute the value of C_pond into the formula and calculate the radius of the pond.